Find the mean proportion of the following numbers:36 and 49.

Given :

The given numbers are 36 and 49.

To do :

We have to find the mean proportion of the given numbers.

Solution : 

Let the mean proportion of 36 and 49 be x

This implies,

36, x, and 49 are in continued proportion.

Therefore,

$\frac{36}{x} =\frac{x}{49}$

$36\times 49=x\times x$

$36( 50-1) =x^{2}$

$x^{2} =36\times 50-36\times 1$

$x^{2} =1800-36$

$x^{2} =1764$

$x=\sqrt{1764}$

$x=42$

The mean proportion between 36 and 49 is 42.

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Updated on: 10-Oct-2022

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