Question

the third proportional to 1 and 2

Answer 1

Answer : Third Proportion is 4.


Explanation -

1 : 2 : : 2 : x

we know that Product of extreme terms = Product of middle terms

1 : 2 : : 2 : x

1 and x are Extreme terms

2 and 2 are middle terms


$1 \times x = 2 \times 2$


$x = 4$

So, the third proportional is 4.


Verify -

1 : 2 : : 2 : 4

$\frac{1}{2} = \frac{2}{4} = \frac{1}{2}$


$\frac{1}{2} = \frac{1}{2}$



Hence :

The third proportion between 1 and 2 is 4.