Finding the Third Proportional to 478 and 578
Calculator
Solution
The third proportional to 478 and 578 is: 698.92
Step by Step Solution
- Step 1: Write the proportion equation
478 : 578 = 578 : x - Step 2: Convert to fraction form
478/578 = 578/x - Step 3: Cross multiply
478x = 578 × 578 - Step 4: Simplify right side
478x = 334,084 - Step 5: Solve for x
x = 334,084/478 - Step 6: Final answer
x = 698.92
Related Problems
Find third proportional to 239 and 289
Half scale
Find third proportional to 956 and 1,156
Double scale
Find third proportional to 480 and 580
Similar ratio
Find third proportional to 717 and 867
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.