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Finding the Third Proportional to 313,524 and 477,657

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Solution

The third proportional to 313,524 and 477,657 is: 727,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,524 : 477,657 = 477,657 : x
  2. Step 2: Convert to fraction form
    313,524/477,657 = 477,657/x
  3. Step 3: Cross multiply
    313,524x = 477,657 × 477,657
  4. Step 4: Simplify right side
    313,524x = 228,156,209,649
  5. Step 5: Solve for x
    x = 228,156,209,649/313,524
  6. Step 6: Final answer
    x = 727,715.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.