See: http://en.wikipedia.org/wiki/World_population#Rate_of_increa...
Aside from that, population pressures do build, but they can't just build forever. Eventually something happens (war, famine, technological breakthrough) that solves the problem in the short term. If we suddenly run out of some critical resource, that will suck for individuals, and the ensuing resource wars may take a terrible toll, but the race as a whole will survive and grow again.