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Finding the Third Proportional to 31,589 and 68,099

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Solution

The third proportional to 31,589 and 68,099 is: 146,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589 : 68,099 = 68,099 : x
  2. Step 2: Convert to fraction form
    31,589/68,099 = 68,099/x
  3. Step 3: Cross multiply
    31,589x = 68,099 × 68,099
  4. Step 4: Simplify right side
    31,589x = 4,637,473,801
  5. Step 5: Solve for x
    x = 4,637,473,801/31,589
  6. Step 6: Final answer
    x = 146,806.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.