My new apartment has no 3 prong plugs with ground


Just moved, my new apartment has no three-pronged plugs within any distance of my living room. Only old 2 prong plugs with no ground.
I have been using a 3-pronged converter for now.

Anyone think this will effect my system?
Danger in damaging something?
Should I chase new wires up and put in a new outlet?
ejs811
"If your house is not up to code, it doesn't matter...houses are "Grandfathered" without needing updates. I owned older houses for rentals, and that is what I was told by the township."

Stringreen is 100% correct. There is no rule or law that says an owner has to conform to code changes as they happen. They change frequently.
You can not replace an ungrounded two prong outlet with a 3 prong outlet without running a new 3 wire grounded cable. This would not meet electrical code and is a potential hazard .
My parents' house was built in 1948. It had no grounded outlets and used fuses. It stayed that way until 1996 when my mother died and the house was sold. We never had any problems.