A problem on progression If a,b,c are in arithmetic progression., p,q,r in harmonic progression and ap,bq,cr are in geometric progression., then $\frac{p}{r}+\frac{r}{p} = $ ?
EDIT: I have tried to use the basic/standard properties of the respective progressions to get the desired result, but I am not yet successful.

If a,b,c are in arithmetic progression, then you can write them as a, a+d, a+2d.  Maybe all you need is 2b=a+c.  Similarly for geometric progression, you can write them as ap, apz, apz^2 where z is the common ration (often we use r, but that was taken).  Again, maybe (bq)^2=ap*cr is all you need.
