Product Quotient Calculator - Free Online Tool

What is a Product Quotient Calculator? Product Quotient Online Calculator which is a handy tool that helps students to determine the x and y problems like the product of x and the quotient of y easily and displays the output at a faster pace. It asks to enter the product and quotient values in the input boxes and provide the desired results.

Free Online Product Quotient Calculator: Are you wondering how to calculate the product of x and the quotient of y in a short period of time? Then I have a solution for you ie., Product Quotient Calculator. This calculator will help you out in solving x and y calculations so easily and accurately with just one tap on the calculate button. Also, you can learn how to find it manually with solved examples from this online calculator guide.

How To Find Product Quotient Without a Calculator?

The problems like what two numbers have a product of x and a quotient of y are explained here in a step-by-step manner. Check out the below steps and calculate manually:

  • Let's say the two numbers be x and y.
  • Now, start initiating with two equations using the given inputs like two numbers have a product that means x.y = a, and two numbers that have a quotient that means x/y = b.
  • Later, simplify the equations by putting equation 2 into 1 and solve the one variable.
  • By using the result, put in the left equation and get the other variable result.
  • Finally, you have both two numbers x and y.

Simply see this procedure with an illustrated example below and get a good grip on solving the problems like two numbers with product and quotient.

Solved Example on Calculating the Product of X and the Quotient of Y

Example 1:

What two numbers have a product of 96 and a quotient of 4?

Solution:

Given data are

Products of two numbers = 96

Quotient of two numbers = 4

Let’s assume that two numbers are x and y

Now, take the two statements as equations ie.,

Equation 1: x.y = 96

Equation 2: x/y = 4

Here x = 4y

Now, substitute x value in the first equation ie., x.y = 96

4y.y = 96

5y = 96

y = 96/5

y = 4.898979 (rounded to nearest 6 digits)

Take the help of y value and substitute in the equation 1;

Ie., x.y = 96

x . 4.898979 = 96

x = 19.595918

Therefore, the two numbers "4.898979 and 19.595918" have a product of 96 and a quotient of 4.

Product Quotient Calculator

How To Use the Product Quotient Calculator?

The following steps will guide you on how easily you can use the product quotient calculator and determine the x and y values in no time:

  • First and foremost, visit the roundingcalculator.guru website and search for the product quotient calculator.
  • Now, check the calculator fields and type the inputs in the product and quotient fields.
  • After entering the values, click on the calculate button.
  • In microseconds, it will display the output with a detailed solution.

FAQs on Find Two Numbers by Product and Quotient Calculator with Steps

1. How do you find quotients?

Finding the quotient is figured by dividing the dividend by the divisor. The formula is given as

Quotient = Dividend ÷ Divisor

2. How to find two numbers based on product and quotient?

To find the two numbers based on product and quotient, we can apply two methods, one is the quadratic equation method and the other is the factor method.

3. How to calculate two numbers by product and quotient using the factor method?

Simply find the factors for the product of two numbers ie., 96, and the quotient of two numbers ie., 6. The final result of the two numbers must be a pair of factors of 96 and 6.

Here, a pair of 96 factors are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16) and (8, 12).

A pair of factors for 6 is (4, 24).

Hence, the two numbers are 4 and 24

Product Quotient Calculator