Here's the strange thing.
In countries with well developed medicine, the birth rate is low, while in the countries with poor medicine, the birth rate is high.
So I don't think that's the problem. Perhaps by increasing medical help, we actually decrease population growth? It seems like it. Maybe it's because people with good health and surviving children aren't as eager to make more children?
Essentially, what I'm saying is that good medicine is not in conflict with population growth, but rather possibly is the answer to reduce it.
Also, the rate of increase has gone down, i.e. it's still increasing but not as fast anymore:
Malthus wasn't quite right. We know today that industrial countries tend to have a more balanced growth than developing or under-developed countries. Malthus missed some parameters.