Question

Find the third proportional of 42, 14​ please guys give me an answer​

Answer 1

The third proportional of two numbers, x and y , is z , such that,

x:y=y:z or x:y::y:z

So, we need to find third proportional of 42 and 14. Let’s call it, ′t′ . So,

42:14=42:t

We know that, for any proportion, a:b=c:d , ad=bc

So, we apply this rule to get,

42×42=14t

1764=14t

t=126

So, the third proportion of 42 and 14 is 126.