Question

SPAMMERS WILL BE REPORTED

Find the mean proportional between 9 and 36.

BEST ANSWER WILL BE MARKED AS BRAINLIEST ​​

Answer 1

$\Large\frak{\underline{\underline{Correct \: Question:}}}$

Find the mean proportional between 9 and 36.

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Let the mean proportional between 9 and 36 be x.

The equation will be :-

${\boxed{\sf{\red{9 : x: :x : 36}}}}$

➫ 9×36 = x²

➫ x² = 324

➫ x² = (18)²

➫ x = 18

${\boxed{\sf{\red{18}}}}$

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Answer 2

Solution :-

Mean Proportion :- A mean proportional is a number that comes between two other numbers and which satisfies the equation a/x = x/b.

Let the mean proportional between 9 and 36 is x .

→ a = 9

→ b = 36 .

Than,

→ a/x = x/b

Putting values ,

→ 9/x = x / 36

cross - Multiply,

→ x² = 9 * 36

→ x² = 3*3 * 6*6

→ x² = 3² * 6²

Square - Root Both Sides Now,

→ x = 3 * 6

→ x = 18 (Ans).

Hence, the mean proportional between 9 and 36 is 18.