Find the third proportional to (iii) \[\mathbf{Rs}.\text{ }\mathbf{3},\text{ }\mathbf{Rs}.\text{ }\mathbf{12}\] (iv) \[\mathbf{5}\text{ }{\scriptscriptstyle 1\!/\!{ }_4}\text{ }\mathbf{and}\text{ }\mathbf{7}\] - Noon Academy

Find the third proportional to (iii)

$\mathbf{Rs}.\text{ }\mathbf{3},\text{ }\mathbf{Rs}.\text{ }\mathbf{12}$

(iv)

$\mathbf{5}\text{ }{\scriptscriptstyle 1\!/\!{ }_4}\text{ }\mathbf{and}\text{ }\mathbf{7}$

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

Find the third proportional to (iii)

$\mathbf{Rs}.\text{ }\mathbf{3},\text{ }\mathbf{Rs}.\text{ }\mathbf{12}$

(iv)

$\mathbf{5}\text{ }{\scriptscriptstyle 1\!/\!{ }_4}\text{ }\mathbf{and}\text{ }\mathbf{7}$

(iii) Consider x as the third proportional to

$~Rs.\text{ }3\text{ }and\text{ }Rs.\text{ }12$

$3:\text{ }12\text{ }::\text{ }12:\text{ }x$

It can be written as

$\begin{array}{*{35}{l}} 3\text{ }\times \text{ }x\text{ }=\text{ }12\text{ }\times \text{ }12 \\ x\text{ }=\text{ }\left( 12\text{ }\times \text{ }12 \right)/\text{ }3\text{ }=\text{ }48 \\ \end{array}$

Hence, the third proportional to

$Rs.\text{ }3\text{ }and\text{ }Rs.\text{ }12\text{ }is\text{ }Rs.\text{ }48$

(iv) Consider x as the third proportional to

$5\text{ }{\scriptscriptstyle 1\!/\!{ }_4}\text{ }and\text{ }7$

$5\text{ }{\scriptscriptstyle 1\!/\!{ }_4}:\text{ }7\text{ }::\text{ }7:\text{ }x$

It can be written as

$\begin{array}{*{35}{l}} 21/4\text{ }\times \text{ }x\text{ }=\text{ }7\text{ }\times \text{ }7 \\ x\text{ }=\text{ }\left( 7\text{ }\times \text{ }7\text{ }\times \text{ }4 \right)/\text{ }21\text{ }=\text{ }28/3\text{ }=\text{ }9\text{ }1/3 \\ \end{array}$

Hence, the third proportional to

$5\text{ }{\scriptscriptstyle 1\!/\!{ }_4}\text{ }and\text{ }7\text{ }is\text{ }9\text{ }1/3$

i

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