Chewbacca,
A pressure ratio of 1.8:1 is what you need to reach mach one (roughly 650 mph at 59F and at sea level). That equates to 26 psi at sea level, which is easily achieved by most air compressors. A leaf blower isn't designed to achieve 26 psi, which is why they only produce around 200 mph flow. Any old air compressor can provide that much pressure, although you'll also need one that can pump enough air back up to that pressure in time to feed the media blaster. Otherwise, your air pressure will drop too low and you won't be able to maintain flow velocities in your media blaster.
Most media blasters will list the minimum flow rate and pressure they need to operate. Most air compressors will include a flow rate and pressure ratio table too, so it should be easy to select a suitable air compressor. If you have an air compressor of 1.5 HP or more, then you can probably assume it will supply a typical media blaster.
A larger air tank will allow a smaller volume air compressor to work better if you give it time to fill up the air tank before you use it for media blasting.
Regards,
Camelman