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Finding the Third Proportional to 11,942 and 15,711

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Solution

The third proportional to 11,942 and 15,711 is: 20,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942 : 15,711 = 15,711 : x
  2. Step 2: Convert to fraction form
    11,942/15,711 = 15,711/x
  3. Step 3: Cross multiply
    11,942x = 15,711 × 15,711
  4. Step 4: Simplify right side
    11,942x = 246,835,521
  5. Step 5: Solve for x
    x = 246,835,521/11,942
  6. Step 6: Final answer
    x = 20,669.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.