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Finding the Third Proportional to 140,204 and 217,702

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Solution

The third proportional to 140,204 and 217,702 is: 338,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,204 : 217,702 = 217,702 : x
  2. Step 2: Convert to fraction form
    140,204/217,702 = 217,702/x
  3. Step 3: Cross multiply
    140,204x = 217,702 × 217,702
  4. Step 4: Simplify right side
    140,204x = 47,394,160,804
  5. Step 5: Solve for x
    x = 47,394,160,804/140,204
  6. Step 6: Final answer
    x = 338,037.15

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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.