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Finding the Third Proportional to 3,963.38 and 8,539.88

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Solution

The third proportional to 3,963.38 and 8,539.88 is: 18,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.38 : 8,539.88 = 8,539.88 : x
  2. Step 2: Convert to fraction form
    3,963.38/8,539.88 = 8,539.88/x
  3. Step 3: Cross multiply
    3,963.38x = 8,539.88 × 8,539.88
  4. Step 4: Simplify right side
    3,963.38x = 72,929,465.02
  5. Step 5: Solve for x
    x = 72,929,465.02/3,963.38
  6. Step 6: Final answer
    x = 18,400.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.