#### Answer

The population density of New York is $356.8~people/mi^2$
The population density of Rhode Island is $680.5~people/mi^2$
Rhode Island has a greater population density than New York. There are 323.7 more people per square mile in Rhode Island.

#### Work Step by Step

We can find the population density of New York.
$\frac{population}{area} = \frac{19,465,197~people}{54,555~mi^2} = 356.8~people/mi^2$
The population density of New York is $356.8~people/mi^2$
We can find the population density of Rhode Island.
$\frac{population}{area} = \frac{1,051,302~people}{1545~mi^2} = 680.5~people/mi^2$
The population density of Rhode Island is $680.5~people/mi^2$
We can find the difference in population density.
$680.5~people/mi^2 - 356.8~people/mi^2 = 323.7~people/mi^2$
Rhode Island has a greater population density than New York. There are 323.7 more people per square mile in Rhode Island.