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Finding the Third Proportional to 91,379 and 137,069

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Solution

The third proportional to 91,379 and 137,069 is: 205,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,379 : 137,069 = 137,069 : x
  2. Step 2: Convert to fraction form
    91,379/137,069 = 137,069/x
  3. Step 3: Cross multiply
    91,379x = 137,069 × 137,069
  4. Step 4: Simplify right side
    91,379x = 18,787,910,761
  5. Step 5: Solve for x
    x = 18,787,910,761/91,379
  6. Step 6: Final answer
    x = 205,604.25

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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.