Insert two numbers between 3 and 81 so that the resulting sequence is G.P.

How about we accept

   

to be two numbers somewhere in the range of

   

with the end goal that the series

   

frames a G.P.

Furthermore, let

   

be the initial term and

   

be the normal proportion of the G.P.

Presently, we have the

   

   

Hence, the two numbers which can be embedded somewhere in the range of

   

so the subsequent arrangement turns into a G.P are