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Finding the Third Proportional to 12,137 and 16,181

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Solution

The third proportional to 12,137 and 16,181 is: 21,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137 : 16,181 = 16,181 : x
  2. Step 2: Convert to fraction form
    12,137/16,181 = 16,181/x
  3. Step 3: Cross multiply
    12,137x = 16,181 × 16,181
  4. Step 4: Simplify right side
    12,137x = 261,824,761
  5. Step 5: Solve for x
    x = 261,824,761/12,137
  6. Step 6: Final answer
    x = 21,572.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.