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Finding the Third Proportional to 12,660 and 20,122

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Solution

The third proportional to 12,660 and 20,122 is: 31,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660 : 20,122 = 20,122 : x
  2. Step 2: Convert to fraction form
    12,660/20,122 = 20,122/x
  3. Step 3: Cross multiply
    12,660x = 20,122 × 20,122
  4. Step 4: Simplify right side
    12,660x = 404,894,884
  5. Step 5: Solve for x
    x = 404,894,884/12,660
  6. Step 6: Final answer
    x = 31,982.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.