After posting this problem I got an interesting result which can be stated as follows:
If two objects are separated by a distance of and if ratio of the mass of the mass of the second object is times the mass of the first object then, if any object regardless of it's mass is placed at a distance of from the first object the net gravitational force on it will be .
Let there be objects named and with masses and respectively with a separation of .
Now suppose if any other object of mass is placed at a distance of from the first object (i.e. object ) then net force of gravity on it becomes
=> Force on the third object by object Force on the third object by object