Question

121:169::361:?find the missing term ​

Answer 1

Answer:

Step-by-step explanation:

121:169 :: 361:x

Solution 1

121x = 169*361

x = (169*361)/121

= (13*13*19*19) / (11*11)

Solution 2

11*11:13*13 :: 19*19:?

?= 21*21 = 441

Answer 2

Given,

A related series, 121:169

To Find,

With respect to the given relation, the value of 361:?

Solution,

Let us say the value to be found = $x$

Now from the given series, that is 121: 169,

It can be deduced that the relation is a square of 11 and 13

That is $11^{2} : 13^{2}$

⇒ $11^{2} : (11+2)^{2}$

Similarly in 361: $x$ it can be treated as $19^{2} : y^{2}$, where $y^{2} = x$

Thus $19^{2} : (19+2)^{2}$

⇒ $19^{2} : 21^{2}$

⇒$361 : 441$

Henceforth, the missing term is 441