Why is the earth more attracted to the sun gravitational pull than the gravitational pull of the moon

First, let's take a look at the equation for the force of gravity between two objects:

F = (GMm)/r², where, 

G = gravitational constant = 6.67 x 10⁻¹¹
M = mass of one object
m = mass of the other object
r = distance between the two objects

From this equation, we can see that the force of gravity is directly proportional to the mass of the two objects and inversely proportional to the distance between them. We can then say that the Earth is more attracted to the sun than the moon because of the massive mass of the Sun (1.9891 x 10³⁰) compared to moon (7.3577 x 10²²). Although, the moon is nearer to the Earth, it has little effect to bring down the gravitational pull of the Sun. 

Less force and energy was applied

Answerit increases at a steady rate;