Question

the means proportion between the number 9 and 36 is

Answer 1

Let the mean proportion between 9 and 36 be x.
since, 9 : x : 36
9 : x : : x : 36
9/x = x/36
x² = 9 x 36
x² = 314
x = √314
x = 17.72 (approx.)
Therefore, 17.72 is the mean proportion between 9 and 36.

Answer 2

The mean proportion between the number 9 and 36 is 18

Given :

The numbers 9 and 36

To find :

The mean proportion between the number 9 and 36

Solution :

Step 1 of 2 :

Write down the given numbers

The given numbers are 9 and 36

Step 2 of 2 :

Find the mean proportion between the numbers

Let x be the mean proportion between the number

So by the given condition

9 : x = x : 36

$\displaystyle \sf{ \implies \frac{9}{x} = \frac{x}{36} }$

$\displaystyle \sf{ \implies {x}^{2} = 9 \times 36 }$

$\displaystyle \sf{ \implies x = \sqrt{9 \times 36} }$

$\displaystyle \sf{ \implies x = 3 \times 6 }$

$\displaystyle \sf{ \implies x = 18 }$

Hence mean proportion between the number 9 and 36 is 18

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