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Finding the Third Proportional to 3,909.38 and 8,468.44

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Solution

The third proportional to 3,909.38 and 8,468.44 is: 18,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.38 : 8,468.44 = 8,468.44 : x
  2. Step 2: Convert to fraction form
    3,909.38/8,468.44 = 8,468.44/x
  3. Step 3: Cross multiply
    3,909.38x = 8,468.44 × 8,468.44
  4. Step 4: Simplify right side
    3,909.38x = 71,714,433.69
  5. Step 5: Solve for x
    x = 71,714,433.69/3,909.38
  6. Step 6: Final answer
    x = 18,344.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.