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Finding the Third Proportional to 137,380.50 and 217,951.50

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Solution

The third proportional to 137,380.50 and 217,951.50 is: 345,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380.50 : 217,951.50 = 217,951.50 : x
  2. Step 2: Convert to fraction form
    137,380.50/217,951.50 = 217,951.50/x
  3. Step 3: Cross multiply
    137,380.50x = 217,951.50 × 217,951.50
  4. Step 4: Simplify right side
    137,380.50x = 47,502,856,352.25
  5. Step 5: Solve for x
    x = 47,502,856,352.25/137,380.50
  6. Step 6: Final answer
    x = 345,775.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.