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Finding the Third Proportional to 13,912 and 20,132

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Solution

The third proportional to 13,912 and 20,132 is: 29,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912 : 20,132 = 20,132 : x
  2. Step 2: Convert to fraction form
    13,912/20,132 = 20,132/x
  3. Step 3: Cross multiply
    13,912x = 20,132 × 20,132
  4. Step 4: Simplify right side
    13,912x = 405,297,424
  5. Step 5: Solve for x
    x = 405,297,424/13,912
  6. Step 6: Final answer
    x = 29,132.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.