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Finding the Third Proportional to 7,721 and 11,981

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Solution

The third proportional to 7,721 and 11,981 is: 18,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721 : 11,981 = 11,981 : x
  2. Step 2: Convert to fraction form
    7,721/11,981 = 11,981/x
  3. Step 3: Cross multiply
    7,721x = 11,981 × 11,981
  4. Step 4: Simplify right side
    7,721x = 143,544,361
  5. Step 5: Solve for x
    x = 143,544,361/7,721
  6. Step 6: Final answer
    x = 18,591.42

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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.