re: Do the numbers
Carrying a rocket to high altitude (either in a balloon or a plane) before you launch it buys you two big things.
First, you get past a lot of the atmosphere, and its associated drag penalty.
Second, and more important, you can use a much higher expansion ratio on your engine which buys you some extra specific impulse.
This can result in significant performance gains, although I don't have exact percentages handy.
This isn't really germane to the airship-into-space argument, but I thought I should clarify that.
