Michelle Obama told the group that state dinners are a way for nations to confirm their partnership in building peace and prosperity across the world.
"What we figure out from these visits is that, all across the world, no matter what our religions or races are, that we are all building that future together," she said. "And building the future is not just the job of any one country alone.
The first lady said every detail of the decorations has meaning. The flower arrangements of roses, hydrangea and sweet pea blossoms were meant to evoke the classic American garden, while the rich, plum colors paid homage to India's state bird, the Indian peacock.
These tables will fill a tent on the South Lawn of the White House, where the walls will be decorated in verdant branches of locally grown magnolia, ivy and nandina. They are meant to reflect the Obamas' dedication to green and sustainable living.
The first lady told the girls that the president kept a picture of India's famed political and spiritual leader Mohandas Gandhi in his office when he was a senator, "because Gandhi inspired so many people in India and around the world with his example of dignity and tolerance and peace."
She said Gandhi challenged each person to practice the changes he or she wishes to see in the world. "We are that change," she said.
Michelle Obama said she hopes Tuesday night's state dinner will deepen the ties between the world's two largest democracies.