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Finding the Third Proportional to 18,251 and 20,171

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Solution

The third proportional to 18,251 and 20,171 is: 22,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,251 : 20,171 = 20,171 : x
  2. Step 2: Convert to fraction form
    18,251/20,171 = 20,171/x
  3. Step 3: Cross multiply
    18,251x = 20,171 × 20,171
  4. Step 4: Simplify right side
    18,251x = 406,869,241
  5. Step 5: Solve for x
    x = 406,869,241/18,251
  6. Step 6: Final answer
    x = 22,292.98

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.