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Finding the Third Proportional to 68,081 and 149,599

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Solution

The third proportional to 68,081 and 149,599 is: 328,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,081 : 149,599 = 149,599 : x
  2. Step 2: Convert to fraction form
    68,081/149,599 = 149,599/x
  3. Step 3: Cross multiply
    68,081x = 149,599 × 149,599
  4. Step 4: Simplify right side
    68,081x = 22,379,860,801
  5. Step 5: Solve for x
    x = 22,379,860,801/68,081
  6. Step 6: Final answer
    x = 328,724.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.