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Finding the Third Proportional to 81,218 and 120,227

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Solution

The third proportional to 81,218 and 120,227 is: 177,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218 : 120,227 = 120,227 : x
  2. Step 2: Convert to fraction form
    81,218/120,227 = 120,227/x
  3. Step 3: Cross multiply
    81,218x = 120,227 × 120,227
  4. Step 4: Simplify right side
    81,218x = 14,454,531,529
  5. Step 5: Solve for x
    x = 14,454,531,529/81,218
  6. Step 6: Final answer
    x = 177,972.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.