I don't see a correlation between the two. You can have a population disappear or grow exponentially while still having 50/50 ration. You should also be able to have a stable population with a different ration, provided that individuals don't mate for life. Actually, even that should not be important as a requirement - if say only half of the individuals need to reproduce to maintain the population, you can get by with a sex disbalance even if they do mate for life. All this is just theoretical - I don't know any specific species to give you as an example.
Here is one, actually: bees.