Find the third proportional to (i) \[5,10\] (ii) \[\mathbf{0}.\mathbf{24},\text{ }\mathbf{0}.\mathbf{6}\] - Noon Academy

Find the third proportional to (i)

$5,10$

(ii)

$\mathbf{0}.\mathbf{24},\text{ }\mathbf{0}.\mathbf{6}$

Class 10 | Exercise 1 | ICSE | Maths | ML Aggarwal | Ratio and Proportion

Find the third proportional to (i)

$5,10$

(ii)

$\mathbf{0}.\mathbf{24},\text{ }\mathbf{0}.\mathbf{6}$

(i) Consider x as the third proportional to

$5,10$

$5:\text{ }10\text{ }::\text{ }10:\text{ }x$

It can be written as

$\begin{array}{*{35}{l}} 5\text{ }\times \text{ }x\text{ }=\text{ }10\text{ }\times \text{ }10 \\ x\text{ }=\text{ }\left( 10\text{ }\times \text{ }10 \right)/\text{ }5\text{ }=\text{ }20 \\ \end{array}$

Hence, the third proportional to

$5,10$

is

$20$

.

(ii) Consider x as the third proportional to

$0.24,\text{ }0.6$

It can be written as

$\begin{array}{*{35}{l}} 0.24\text{ }\times \text{ }x\text{ }=\text{ }0.6\text{ }\times \text{ }0.6 \\ x\text{ }=\text{ }\left( 0.6\text{ }\times \text{ }0.6 \right)/\text{ }0.24\text{ }=\text{ }1.5 \\ \end{array}$

Hence, the third proportional to

$0.24,\text{ }0.6\text{ }is\text{ }1.5$

i

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