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Finding the Third Proportional to 12,251 and 18,328

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Solution

The third proportional to 12,251 and 18,328 is: 27,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251 : 18,328 = 18,328 : x
  2. Step 2: Convert to fraction form
    12,251/18,328 = 18,328/x
  3. Step 3: Cross multiply
    12,251x = 18,328 × 18,328
  4. Step 4: Simplify right side
    12,251x = 335,915,584
  5. Step 5: Solve for x
    x = 335,915,584/12,251
  6. Step 6: Final answer
    x = 27,419.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.