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Finding the Third Proportional to 11,482 and 17,663

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Solution

The third proportional to 11,482 and 17,663 is: 27,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482 : 17,663 = 17,663 : x
  2. Step 2: Convert to fraction form
    11,482/17,663 = 17,663/x
  3. Step 3: Cross multiply
    11,482x = 17,663 × 17,663
  4. Step 4: Simplify right side
    11,482x = 311,981,569
  5. Step 5: Solve for x
    x = 311,981,569/11,482
  6. Step 6: Final answer
    x = 27,171.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.