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Finding the Third Proportional to 8,331 and 17,721

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Solution

The third proportional to 8,331 and 17,721 is: 37,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331 : 17,721 = 17,721 : x
  2. Step 2: Convert to fraction form
    8,331/17,721 = 17,721/x
  3. Step 3: Cross multiply
    8,331x = 17,721 × 17,721
  4. Step 4: Simplify right side
    8,331x = 314,033,841
  5. Step 5: Solve for x
    x = 314,033,841/8,331
  6. Step 6: Final answer
    x = 37,694.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.