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Finding the Third Proportional to 11,788 and 15,493

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Solution

The third proportional to 11,788 and 15,493 is: 20,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788 : 15,493 = 15,493 : x
  2. Step 2: Convert to fraction form
    11,788/15,493 = 15,493/x
  3. Step 3: Cross multiply
    11,788x = 15,493 × 15,493
  4. Step 4: Simplify right side
    11,788x = 240,033,049
  5. Step 5: Solve for x
    x = 240,033,049/11,788
  6. Step 6: Final answer
    x = 20,362.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.