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Finding the Third Proportional to 3,969 and 4,311

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Solution

The third proportional to 3,969 and 4,311 is: 4,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 4,311 = 4,311 : x
  2. Step 2: Convert to fraction form
    3,969/4,311 = 4,311/x
  3. Step 3: Cross multiply
    3,969x = 4,311 × 4,311
  4. Step 4: Simplify right side
    3,969x = 18,584,721
  5. Step 5: Solve for x
    x = 18,584,721/3,969
  6. Step 6: Final answer
    x = 4,682.47

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.