Also when you take into account that the moon is formed from the outer layers of the earth it lacks a lot of the heavy elements like iron that the Earth has in it's core making the mass about 1.2% of the mass of the Earth [1].
It's much smaller compared to the earth than you would think just by looking at it but it is still a very large moon for a planet the size of the Earth.
"Of all the moons of the eight planets, Earth's moon is by far the largest relative to its planet, with a diameter of 3476 km and hence a ratio to Earth's diameter of 0.2764. By comparison, the next largest moon relative to a major planet (Triton of Neptune) has a diameter ratio of just .0546." [2]
The moon is also larger than Pluto (in the same reference as above) :)