Mix together the rice-a-roni (save the flavor packet for later), egg and hamburger together with your hands. Don't over mix or they will become tough.
Scoop out 1/4 - 1/3 cup of the meat mixture and roll into a ball. Place in a skillet over medium-high heat and brown all sides of the meatball.
When all sides are browned (middle will still be a little pink), pour the season packet and 2 1/2 cups of water over everything. Bring to a boil, turn down the heat to low, cover and simmer for 30-40 minutes or until most of the liquid has been absorbed.