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Finding the Third Proportional to 20,691 and 36,027

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Solution

The third proportional to 20,691 and 36,027 is: 62,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 36,027 = 36,027 : x
  2. Step 2: Convert to fraction form
    20,691/36,027 = 36,027/x
  3. Step 3: Cross multiply
    20,691x = 36,027 × 36,027
  4. Step 4: Simplify right side
    20,691x = 1,297,944,729
  5. Step 5: Solve for x
    x = 1,297,944,729/20,691
  6. Step 6: Final answer
    x = 62,729.92

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.