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Finding the Third Proportional to 12,659 and 20,204

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Solution

The third proportional to 12,659 and 20,204 is: 32,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659 : 20,204 = 20,204 : x
  2. Step 2: Convert to fraction form
    12,659/20,204 = 20,204/x
  3. Step 3: Cross multiply
    12,659x = 20,204 × 20,204
  4. Step 4: Simplify right side
    12,659x = 408,201,616
  5. Step 5: Solve for x
    x = 408,201,616/12,659
  6. Step 6: Final answer
    x = 32,245.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.