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Finding the Third Proportional to 81,787.50 and 119,981

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Solution

The third proportional to 81,787.50 and 119,981 is: 176,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.50 : 119,981 = 119,981 : x
  2. Step 2: Convert to fraction form
    81,787.50/119,981 = 119,981/x
  3. Step 3: Cross multiply
    81,787.50x = 119,981 × 119,981
  4. Step 4: Simplify right side
    81,787.50x = 14,395,440,361
  5. Step 5: Solve for x
    x = 14,395,440,361/81,787.50
  6. Step 6: Final answer
    x = 176,010.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.