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Finding the Third Proportional to 13,384 and 20,711

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Solution

The third proportional to 13,384 and 20,711 is: 32,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384 : 20,711 = 20,711 : x
  2. Step 2: Convert to fraction form
    13,384/20,711 = 20,711/x
  3. Step 3: Cross multiply
    13,384x = 20,711 × 20,711
  4. Step 4: Simplify right side
    13,384x = 428,945,521
  5. Step 5: Solve for x
    x = 428,945,521/13,384
  6. Step 6: Final answer
    x = 32,049.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.