Find the mean proportional between 3 and 27.

Given :

The given numbers are 3 and 27.

To find :

We have to find  the mean proportion between 3 and 27.

Solution :

Let the mean proportion between 3 and 27 be a.

This implies,

$\frac{3}{a} = \frac{a}{27}$

$3\times 27 = a\times a$

$81 = a\times a$

$a\times a = 9\times 9$

$a = 9$.

Therefore,

The mean proportional between 3 and 27 is 9. 

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Updated on: 10-Oct-2022

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