Thanks FB - I was having a thick day. 
I'll now say that as 650 has a smaller volume they'll need a higher pressure. Volume is related to area. 
Pressure = Force / Area.
Force (rider + bike weight) is a constant here, so as the internal Area of the tyre increases (say from 700x23C to 700x25C) the Pressure required to support the Force reduces.
By the same token as you reduce the area of the tyre (650x23C) then the pressure must increase for a given force.
Your MTB tyres support your weight the same your road bike tyres, but at a lower pressure. The volume of the tyre is bigger. Perhaps my explanation/understanding is amiss, but the theory is sound.