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Finding the Third Proportional to 20,167 and 28,675

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Solution

The third proportional to 20,167 and 28,675 is: 40,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167 : 28,675 = 28,675 : x
  2. Step 2: Convert to fraction form
    20,167/28,675 = 28,675/x
  3. Step 3: Cross multiply
    20,167x = 28,675 × 28,675
  4. Step 4: Simplify right side
    20,167x = 822,255,625
  5. Step 5: Solve for x
    x = 822,255,625/20,167
  6. Step 6: Final answer
    x = 40,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.