#### Answer

The population density of Illinois is $222.2~people/mi^2$
The population density of Ohio is $257.6~people/mi^2$
Ohio has a greater population density than Illinois. There are 35.4 more people per square mile in Ohio.

#### Work Step by Step

We can find the population density of Illinois.
$\frac{population}{area} = \frac{12,869,257~people}{57,914~mi^2} = 222.2~people/mi^2$
The population density of Illinois is $222.2~people/mi^2$
We can find the population density of Ohio.
$\frac{population}{area} = \frac{11,544,951~people}{44,826~mi^2} = 257.6~people/mi^2$
The population density of Ohio is $257.6~people/mi^2$
We can find the difference in population density.
$257.6~people/mi^2 - 222.2~people/mi^2 = 35.4~people/mi^2$
Ohio has a greater population density than Illinois. There are 35.4 more people per square mile in Ohio.