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Finding the Third Proportional to 3,949 and 9,311

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Solution

The third proportional to 3,949 and 9,311 is: 21,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949 : 9,311 = 9,311 : x
  2. Step 2: Convert to fraction form
    3,949/9,311 = 9,311/x
  3. Step 3: Cross multiply
    3,949x = 9,311 × 9,311
  4. Step 4: Simplify right side
    3,949x = 86,694,721
  5. Step 5: Solve for x
    x = 86,694,721/3,949
  6. Step 6: Final answer
    x = 21,953.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.