1 per 15,000 is just moronic - and I hate to say it that way, but what the hell? Not even Traveller, IMO, can you suggest that 1/15k is a rational starship number. maybe in the very heart of Core, perhaps, but certainly not the Imperium as a whole. You'd be looking at hundreds of thousands of starships flying in the skies of every high-pop world.
Most 2300 AD ships lack airframes, so there will be little sky flying.
And lots of small ships and craft are more interesting than a few large ships.
Let's bring it back to 2300AD. A Commercant-class Cargo Ship is 19.76 MLv and 200dTons. A single Ariadne Cargo Rocket is 0.75MLv, and carries 5.45dTons of Cargo.
200/5.45 is 37 Ariadne launches to loft the dTons of materials needed to build the Commercant, ignoring the need to build its orbital construction facilities, launch the crew and supplies for that crew, the cargo devils needed to facilitate movement of large materials into place, and the cost of paying all those specially-trained space constructors to do the job and housing them for the duration.
27.75MLv alone to just get the materials into orbit, followed by 19.76MLv to build the thing and furnish those components, if we're abstracting, which is in total 47.51MLv ignoring construction factors such as life support costs for a space station, crew transfer costs, and the like.
Several hundred Commercant were built, so apparently someone thought it was worth the effort. In fact, a substantial percentage of designs lack airframes and are more effectively built in space or on low gravity, vacuum worlds.