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Finding the Third Proportional to 61,867.50 and 137,949

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Solution

The third proportional to 61,867.50 and 137,949 is: 307,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,867.50 : 137,949 = 137,949 : x
  2. Step 2: Convert to fraction form
    61,867.50/137,949 = 137,949/x
  3. Step 3: Cross multiply
    61,867.50x = 137,949 × 137,949
  4. Step 4: Simplify right side
    61,867.50x = 19,029,926,601
  5. Step 5: Solve for x
    x = 19,029,926,601/61,867.50
  6. Step 6: Final answer
    x = 307,591.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.