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Finding the Third Proportional to 13,851 and 20,775

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Solution

The third proportional to 13,851 and 20,775 is: 31,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 20,775 = 20,775 : x
  2. Step 2: Convert to fraction form
    13,851/20,775 = 20,775/x
  3. Step 3: Cross multiply
    13,851x = 20,775 × 20,775
  4. Step 4: Simplify right side
    13,851x = 431,600,625
  5. Step 5: Solve for x
    x = 431,600,625/13,851
  6. Step 6: Final answer
    x = 31,160.25

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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.