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Finding the Third Proportional to 357,680 and 517,215

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Solution

The third proportional to 357,680 and 517,215 is: 747,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,680 : 517,215 = 517,215 : x
  2. Step 2: Convert to fraction form
    357,680/517,215 = 517,215/x
  3. Step 3: Cross multiply
    357,680x = 517,215 × 517,215
  4. Step 4: Simplify right side
    357,680x = 267,511,356,225
  5. Step 5: Solve for x
    x = 267,511,356,225/357,680
  6. Step 6: Final answer
    x = 747,906.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.