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Finding the Third Proportional to 13,917 and 20,388

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Solution

The third proportional to 13,917 and 20,388 is: 29,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917 : 20,388 = 20,388 : x
  2. Step 2: Convert to fraction form
    13,917/20,388 = 20,388/x
  3. Step 3: Cross multiply
    13,917x = 20,388 × 20,388
  4. Step 4: Simplify right side
    13,917x = 415,670,544
  5. Step 5: Solve for x
    x = 415,670,544/13,917
  6. Step 6: Final answer
    x = 29,867.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.