Question

if 27,10, x are in continued proportion, find the value of x.

Answer 1

Continue proportional=a:b::b:c

A=27

B=36

C=x

so,

27:36::36:x

Now Multiply a×c=b×b

27×x=36×36

27x=1296

x=1296/27

x=48

Answer 2

Answer:

$\orange{ \mathbb{ \large{ \huge{Hello}}}}$

${\huge{\sf{\blue{\underline {\underline{Question}}}}}}$

if 27,10, x are in continued proportion, find the value of x.

${\boxed{\huge{\tt{\color{red}{Answer}}}}}$

Since 27,10, x are in continued proportion

then

⟹27 : 10 :: 10 : x

$\frac{27}{10} = \frac{10}{x} \\ ⟹x = \frac{\cancel10 \times 27}{\cancel10}$

$\purple{\bold{\underline{\underline{★x=27★}}}}$

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