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Finding the Third Proportional to 140,279 and 217,655.50

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Solution

The third proportional to 140,279 and 217,655.50 is: 337,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,279 : 217,655.50 = 217,655.50 : x
  2. Step 2: Convert to fraction form
    140,279/217,655.50 = 217,655.50/x
  3. Step 3: Cross multiply
    140,279x = 217,655.50 × 217,655.50
  4. Step 4: Simplify right side
    140,279x = 47,373,916,680.25
  5. Step 5: Solve for x
    x = 47,373,916,680.25/140,279
  6. Step 6: Final answer
    x = 337,712.11

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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.