What aspect ratio enlargement do they want to make?
What aspect ratio photograph does you camera produce?
Most DSLR cameras make photos that have a 3:2 aspect ratio
Many P&S cameras make photos that have a 4:3 aspect ratio.
Aspect ratio is the length of the horizontal side of the print relative to the vertical side of the print.
An 8" x 10" print has an aspect ratio of 5:4 and is almost square. Square is a 1:1 aspect ratio since all side of the print are the same length.
A 16" x 24" print has an aspect ratio of 3:2.
Next lets look at the numbers posted above - 3000 x 2500 px @ 300 dpi.
First it's ppi not dpi.
Second the pixel dimensions (3000x2500 px) is the image resolution.
300 ppi is the print resolution.
Print size is determined by both the image resolution and the print resolution:
Second, by assigning a ppi value the print size is fixed.
3000 px / 300 ppi= 10"
2500 px / 300 ppi = 8.33"
Essentially an 8" x 10" print and a 5:4 aspect ratio.
With these 3 simple math equations you can solve for each of the 3 values needed to determine print size
Pixels / ppi = inches
Inches x ppi = pixels
Pixels / inches = ppi
To make a 3:2 aspect 16 x 24 from the same 3000 x 2500 px photo, 500 pixels have to be cropped from the short side of the photo and a different ppi value has to be assigned. Below is how I calculates that 500 px need to be cropped away.
First we figure out the ppi by using the appropriate formula from above by starting with the long of the photo - 3000 px / 24 inches = 125 ppi.
Next we need to determine how many pixels we need on the short side to make a 3:2 aspect ratio print. We already have the 3 part (short side) of 3:2 - 3000 px.
3 divided by 2 = 1.5 meaning the long side is 1.5 times longer than the short side so 3000 / 1.5 = 2000 px we need for the short side to make a 16" x 24" print.
The up shot of all the above is that if your costume client (customer?) is wanting to make an enlargement and you want to be sure the customer will wind up with a quality printed enlargement you need to learn more about print making.