All you guys need to calm down.
1. Most poor people can't afford to buy so they rent.
2. Some renters are covered by rent control so they pay below-market rent.
3. Many people bought their homes well before the run-up in prices over the last several years, and pay a lot less in property taxes thanks to Prop 13, than someone buying today.
4. Median household income doesn't mean median family income. It means household, which can be as few as one person. The single guy living in a 1 bedroom apartment counts as household, for instance. If you want to know the median FAMILY income, that's usually much higher.
5. Median household income 2 years ago in L.A. County was $55,909, so by 2015 it's probably over $60k.
http://quickfacts.census.gov/qfd/states/06/06037.html
6. Housing prices can be inflated by investors, such as flippers, or increasingly, rich Chinese investors looking for a safe place to park money.. the Chinese real estate bubble is massive right now and makes US real estate look cheap by comparison even though US real estate might or might not be in a bubble right now, too. Look at the number of all-cash offers as one metric of this. It's not just residential real estate, either, they are buying up entire strip malls and apartment buildings and office buildings, too.
7. What's affordable is up for debate. Many people who buy homes are stretching the definition of affordable. The traditional definition meant 20% down and your disposable income should be enough to comfortably pay off the mortgage, taxes, insurance, and pay for home repairs. These days there are people who pay a lot less than 20% down and stretch themselves thin. Believe it or not, the subprime market is back even though it burst just 7 years ago. Why not since the Too Big to Fail banks know Uncle Sam has got their backs and nothing has really changed since the bailout? The incentives are still a mess.
Given the complexity of the above, median household income is nowhere near enough information to go on. I would agree that $60k household is a pittance if you're looking to own a decent house anywhere with an above average school district within a reasonable drive of downtown LA.
All you guys have some kernels of truth in what you say but so does the other side. The truth is often complicated.