Finding the Third Proportional to 457 and 593
Calculator
Solution
The third proportional to 457 and 593 is: 769.47
Step by Step Solution
- Step 1: Write the proportion equation
457 : 593 = 593 : x - Step 2: Convert to fraction form
457/593 = 593/x - Step 3: Cross multiply
457x = 593 × 593 - Step 4: Simplify right side
457x = 351,649 - Step 5: Solve for x
x = 351,649/457 - Step 6: Final answer
x = 769.47
Related Problems
Find third proportional to 228.50 and 296.50
Half scale
Find third proportional to 914 and 1,186
Double scale
Find third proportional to 459 and 596
Similar ratio
Find third proportional to 685.50 and 889.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.