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Finding the Third Proportional to 68,631 and 109,599

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Solution

The third proportional to 68,631 and 109,599 is: 175,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,631 : 109,599 = 109,599 : x
  2. Step 2: Convert to fraction form
    68,631/109,599 = 109,599/x
  3. Step 3: Cross multiply
    68,631x = 109,599 × 109,599
  4. Step 4: Simplify right side
    68,631x = 12,011,940,801
  5. Step 5: Solve for x
    x = 12,011,940,801/68,631
  6. Step 6: Final answer
    x = 175,022.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.