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Finding the Third Proportional to 103,636 and 137,561

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Solution

The third proportional to 103,636 and 137,561 is: 182,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636 : 137,561 = 137,561 : x
  2. Step 2: Convert to fraction form
    103,636/137,561 = 137,561/x
  3. Step 3: Cross multiply
    103,636x = 137,561 × 137,561
  4. Step 4: Simplify right side
    103,636x = 18,923,028,721
  5. Step 5: Solve for x
    x = 18,923,028,721/103,636
  6. Step 6: Final answer
    x = 182,591.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.