Finding the Third Proportional to 420 and 547
Calculator
Solution
The third proportional to 420 and 547 is: 712.40
Step by Step Solution
- Step 1: Write the proportion equation
420 : 547 = 547 : x - Step 2: Convert to fraction form
420/547 = 547/x - Step 3: Cross multiply
420x = 547 × 547 - Step 4: Simplify right side
420x = 299,209 - Step 5: Solve for x
x = 299,209/420 - Step 6: Final answer
x = 712.40
Related Problems
Find third proportional to 210 and 273.50
Half scale
Find third proportional to 840 and 1,094
Double scale
Find third proportional to 422 and 550
Similar ratio
Find third proportional to 630 and 820.50
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.