There were already good answers, I'd like to add some points and also write something about the inductance.
Here is a sketch of a typical coil:
There are in principle two reasons why there is no correlation between resistances and windings. Therefore, keep in mind that resistance depends on length and diameter (gauge) of a wire.
First, as already said by others, if different wires are used for both windings and the gauge is unknown, the length of the wires can not be calculated from the resistances.
Second, the length of a single loop of a winding depends on the diameter of the loop. In the sketch, the primary winding is put around the secondary, giving the entire primary winding a larger diameter. And each winding consists of several layers, the outer having a larger diameter than the inner. So, even if the length of wires is known, the number of windings can not be determined
@resident_heretic wrote about autotransformers. They use the same gauge for both windings, but since the secondary part has much more turns, it is possible that the secondary part is thicker and has a higher effective diameter.
And there may be ignition coils of this type out there, but they are by far not the only type. I guess the classic two-wire type is still (more) common.
Now, in your edit, you ask about inductance, which you would have to measure first. I guess devices which can measure the huge inductivity of asecondary coil are rare. However:
First, inductance depends on the number of windings, but also on the diameter of the coils. So same problem as above.
Second, it depends on the permeability µ_r. Looking at the sketch above, one could use the permeability of iron for the secondary winding. But for the primary, it's a function of the permeabilities of the iron core, the secondary winding and the insulation between primary and secondary windings.
In reality, it is much more complicated, since the shape of every component plays a role, the permeability of inner layers play a role for the outer layers of the same winding and so on.
The inductivity depends on much more unknown parameters than the resistance, rendering the possibility to calculate winding ratio impossible.
The only reliable way is to put a small AC voltage on the primary and measure the voltage secondary - though that can be difficult and dangerous.