Descent is a matter of managing the aircraft's energy budget.
To descend, the aircraft must shed all its potential, and big part of its kinetic energy. Pilots reduce engine power to minimum to stop adding energy, but the energy the plane already has is still only dissipated by drag. The angle at which the aircraft can descend without accelerating is equal to its lift-to-drag ratio. Descend any steeper and the aircraft will accelerate.
Now higher lift-to-drag ratio means lower fuel burn, so aircraft are designed to have that ratio high. A typical modern airliner has lift-to-drag ratio, at optimal speed, around 18. The older generation a bit less, 15-16, the newest aircraft a bit more, 20-21. And $18\times 1,000\ \mathrm{ft}\ \dot=\ 2.96\ \mathrm{NM}$.
The aircraft can descend less steeply by using some engine power, but the engines are less efficient at low altitude, so it is not desirable to descend slower.
The aircraft can also to some extent increase its drag, usually by using the speed brakes. However descending faster this way means that the engines were running longer before the descent started and thus burnt more fuel, the energy of which is now being wasted to speed brakes.
So pilots try to descent at around the optimal glide angle. And with the aerodynamics of current airliners it happens to be around 3 miles per 1,000 ft. Rounded to that value if you need to do the calculation mentally instead of having the FMS do it for you.