Question

Find the mean proportional between 49 & 81​

Answer 1

Answer:

49 : 81 = 7 : 13

= 63 : 117

49 : 81 = 63 : 117

Step-by-step explanation:

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Answer 2

The mean proportional between 49 & 81 is 63

Given :

The numbers 49 & 81

To find :

The mean proportional between 49 & 81

Solution :

Step 1 of 2 :

Form the equation

Let x be the mean proportional between 49 & 81

By the given condition

49 : x = x : 81

Step 2 of 2 :

Find the number

$\displaystyle \sf{49 : x = x : 81 }$

$\displaystyle \sf{ \implies \frac{49}{x} = \frac{x}{81} }$

$\displaystyle \sf{ \implies {x}^{2} = 49 \times 81}$

$\displaystyle \sf{ \implies x = \sqrt{49 \times 81}}$

$\displaystyle \sf{ \implies x = 7 \times 9}$

$\displaystyle \sf{ \implies x = 63}$

The mean proportional between 49 & 81 is 63