Question

find the mean proportional of 15 : 240​

Answer 1

Answer:

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Answer 2

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

The mean proportional between 15 : 240 is 60.

Step-by-step explanation :

Given :

Ratio 15 : 240

To Find :

Mean proportional of 15 : 240

Calculations :

Let's consider the mean proportional between 15 and 240 as 'x'.

So, it can be written as :-

$\boxed{ \rm{ \green{15 : x :: x : 240}}}$

Now,

$\rightarrow \bf \: 15 : x :: x : 240$

By transposing x in L.H.S and the ratios [15 : 240] in R.H.S and performing multiplication.

$\rightarrow \bf \: x^2 = 15 \times 240$

On multiplying the numbers,

$\rightarrow \bf \: x^2 = 3600$

$\rightarrow \bf \: x = \sqrt{3600}$

Square root of √3600 is 60 × 60

~ So, final answer is :

$\rightarrow \boxed{\bf{ \: x = 60}} \: \pink{\bigstar}$

Henceforth,

The mean proportional between 15 : 240 is 60.

$\small {\underline {\rm {\color{red}{thanks}}}}$