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Finding the Third Proportional to 91,867 and 137,801

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Solution

The third proportional to 91,867 and 137,801 is: 206,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,867 : 137,801 = 137,801 : x
  2. Step 2: Convert to fraction form
    91,867/137,801 = 137,801/x
  3. Step 3: Cross multiply
    91,867x = 137,801 × 137,801
  4. Step 4: Simplify right side
    91,867x = 18,989,115,601
  5. Step 5: Solve for x
    x = 18,989,115,601/91,867
  6. Step 6: Final answer
    x = 206,702.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.