Finding the Third Proportional to 416 and 588
Calculator
Solution
The third proportional to 416 and 588 is: 831.12
Step by Step Solution
- Step 1: Write the proportion equation
416 : 588 = 588 : x - Step 2: Convert to fraction form
416/588 = 588/x - Step 3: Cross multiply
416x = 588 × 588 - Step 4: Simplify right side
416x = 345,744 - Step 5: Solve for x
x = 345,744/416 - Step 6: Final answer
x = 831.12
Related Problems
Find third proportional to 208 and 294
Half scale
Find third proportional to 832 and 1,176
Double scale
Find third proportional to 418 and 591
Similar ratio
Find third proportional to 624 and 882
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.