Write the value of $x$
$14 : 21 = 2 : x$

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Solution

Step-1: Write $a, b, c a n d d$ as $14 : 21 = 2 : x$ is written in the form of $a : b = c : d$
$a = 14$ $b = 21$ $c = 2$ $d = x$
Step-2: Write mean terms and extreme terms
$m e a n t e r m s : -$ $b = 21$ $c = 2$
$e x t r e m e t e r m s : -$ $a = 14$ $d = x$
Step-3: use $o n e e x t r e m e = \frac{p r o d u c t o f m e a n s}{o t h e r e x t r e m e}$ as one mean term is missing
$o n e e x t r e m e = \frac{p r o d u c t o f m e a n s}{o t h e r e x t r e m e}$
$x = \frac{21 \times 2}{14}$
$x = \frac{42}{14}$ ( Simplify $\frac{42}{14}$ by dividing by a common factor $14$ in the numerator and denominator separately )
$x = 3$
Hence, the value of $x = 3$

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