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Finding the Third Proportional to 3,873.80 and 7,951.78

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Solution

The third proportional to 3,873.80 and 7,951.78 is: 16,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.80 : 7,951.78 = 7,951.78 : x
  2. Step 2: Convert to fraction form
    3,873.80/7,951.78 = 7,951.78/x
  3. Step 3: Cross multiply
    3,873.80x = 7,951.78 × 7,951.78
  4. Step 4: Simplify right side
    3,873.80x = 63,230,825.05
  5. Step 5: Solve for x
    x = 63,230,825.05/3,873.80
  6. Step 6: Final answer
    x = 16,322.70

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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.