How to Calculate the Geometric Mean

Plug your numbers into the equation below., Solve for x.

2 Steps 1 min read Easy

Step-by-Step Guide

  1. Step 1: Plug your numbers into the equation below.

    If your numbers are 10 and 15, for example, plug in 10 and 15 as shown in the picture. , Start by cross-multiplying, which means multiplying the pairs of numbers diagonal to one another and then setting the results on opposite sides of an = sign.

    Since x*x is x2, your equation should look like: x2 = (product of your other numbers).

    To solve for x, find the square root of your product.

    If you’re lucky, the results will be a whole number.

    If not, you can provide a decimal answer or leave your answer in square root form, depending on what your instructor prefers.

    The example here is in simplified square root form.
  2. Step 2: Solve for x.

Detailed Guide

If your numbers are 10 and 15, for example, plug in 10 and 15 as shown in the picture. , Start by cross-multiplying, which means multiplying the pairs of numbers diagonal to one another and then setting the results on opposite sides of an = sign.

Since x*x is x2, your equation should look like: x2 = (product of your other numbers).

To solve for x, find the square root of your product.

If you’re lucky, the results will be a whole number.

If not, you can provide a decimal answer or leave your answer in square root form, depending on what your instructor prefers.

The example here is in simplified square root form.

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Nicholas Campbell

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