Question

Find the mean proportion between 49 and 64

Answer 1

First. Sum of observation / number of observation. Hello plz send me any type of questions

Answer 2

The mean proportional between 49 & 64 is 56

Given :

The numbers 49 & 64

To find :

The mean proportional between 49 & 64

Solution :

Step 1 of 2 :

Form the equation

Let x be the mean proportional between 49 & 64

By the given condition

49 : x = x : 64

Step 2 of 2 :

Find the number

$\displaystyle \sf{49 : x = x : 64 }$

$\displaystyle \sf{ \implies \frac{49}{x} = \frac{x}{64} }$

$\displaystyle \sf{ \implies {x}^{2} = 49 \times 64}$

$\displaystyle \sf{ \implies x = \sqrt{49 \times 64}}$

$\displaystyle \sf{ \implies x = 7 \times 8}$

$\displaystyle \sf{ \implies x = 56}$

The mean proportional between 49 & 64 is 56

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