Finding the Third Proportional to 540 and 596
Calculator
Solution
The third proportional to 540 and 596 is: 657.81
Step by Step Solution
- Step 1: Write the proportion equation
540 : 596 = 596 : x - Step 2: Convert to fraction form
540/596 = 596/x - Step 3: Cross multiply
540x = 596 × 596 - Step 4: Simplify right side
540x = 355,216 - Step 5: Solve for x
x = 355,216/540 - Step 6: Final answer
x = 657.81
Related Problems
Find third proportional to 270 and 298
Half scale
Find third proportional to 1,080 and 1,192
Double scale
Find third proportional to 542 and 598
Similar ratio
Find third proportional to 810 and 894
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.