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Finding the Third Proportional to 3,972.38 and 8,143.88

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Solution

The third proportional to 3,972.38 and 8,143.88 is: 16,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.38 : 8,143.88 = 8,143.88 : x
  2. Step 2: Convert to fraction form
    3,972.38/8,143.88 = 8,143.88/x
  3. Step 3: Cross multiply
    3,972.38x = 8,143.88 × 8,143.88
  4. Step 4: Simplify right side
    3,972.38x = 66,322,700.02
  5. Step 5: Solve for x
    x = 66,322,700.02/3,972.38
  6. Step 6: Final answer
    x = 16,695.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.