Question

3. Find the mean proportional between the following
numbers.
(1) 12 and 108 ​

Answer 1

Answer:

answer

1/9

Step-by-step explanation:

bro when we cut the number

in priportain the answer is done

hope you understand

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Answer 2

The mean proportional between 12 and 108 is 36

Given : The numbers 12 and 108

To find : The mean proportional between the numbers

Solution :

Step 1 of 2 :

Write down the given numbers

Here the given numbers are 12 and 108

Step 2 of 2 :

Find the mean proportional

Let x be the mean proportional between 12 and 108

So by the given condition

12 : x = x : 108

$\displaystyle \sf{ \implies \frac{x}{12} = \frac{108}{x} }$

$\displaystyle \sf{ \implies {x}^{2} = 12 \times 108 }$

$\displaystyle \sf{ \implies x = \sqrt{12 \times 108} }$

$\displaystyle \sf{ \implies x = \sqrt{12 \times 12 \times 3 \times 3} }$

$\displaystyle \sf{ \implies x = 12 \times 3 }$

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

The mean proportional between 12 and 108 is 36

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