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Finding the Third Proportional to 81,202.50 and 127,413

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Solution

The third proportional to 81,202.50 and 127,413 is: 199,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202.50 : 127,413 = 127,413 : x
  2. Step 2: Convert to fraction form
    81,202.50/127,413 = 127,413/x
  3. Step 3: Cross multiply
    81,202.50x = 127,413 × 127,413
  4. Step 4: Simplify right side
    81,202.50x = 16,234,072,569
  5. Step 5: Solve for x
    x = 16,234,072,569/81,202.50
  6. Step 6: Final answer
    x = 199,920.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.