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Finding the Third Proportional to 140,280 and 217,657

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Solution

The third proportional to 140,280 and 217,657 is: 337,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,280 : 217,657 = 217,657 : x
  2. Step 2: Convert to fraction form
    140,280/217,657 = 217,657/x
  3. Step 3: Cross multiply
    140,280x = 217,657 × 217,657
  4. Step 4: Simplify right side
    140,280x = 47,374,569,649
  5. Step 5: Solve for x
    x = 47,374,569,649/140,280
  6. Step 6: Final answer
    x = 337,714.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.