We are inflating (with rate r1 & r2) two balloons by filling certain gasses as shown in figure.
The maximum diameter that the following balloons can attain (due to some restriction) is shown by the line segments AB and PQ. C and R are the mid point of the line segments and the centers of the balloons.
What is the necessary & sufficient condition to maintain the ratio of the diameters of these two balloons constant throughout out the process of expansion (till it attains maximum diameter) i.e:
Dia(Big ballon)/Dia(small balloon)= Constant
What if I want to make sure that only final ratio and initial ratio (the state shown in fig) are same?