Question

Find the geometric mean between 6 and 24 given,formula,solution

Answer 1

Let the mean between 6 and 24 be x
Since,
$a:b : : b:c$
Where b is the mean of a and c
Therefore, 6:x : : x:24
=> 6/x = x/24
=> x² = 6×24
=> x = √144
=> x = 12
So, the mean between 6 and 24 is 12.

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Answer 2

The geometric mean (GM) between 6 and 24 is 12

Given :

The numbers 6 and 24

To find :

The geometric mean (GM) between 6 and 24

Concept :

If a and b are two given numbers then the Geometric mean between a and b is

$\sf{ = \sqrt{ab} }$

Solution :

Step 1 of 2 :

Write down the given numbers

Here the given numbers are 6 and 24

Step 2 of 2 :

Find geometric mean

For two numbers 6 and 24, the required geometric mean (GM) is

$\displaystyle \sf{ = \sqrt{ 6 \times 24 } }$

$\displaystyle \sf{ = \sqrt{ 144} }$

$\displaystyle \sf{ =12 }$

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