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Finding the Third Proportional to 3,777.38 and 7,078.88

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Solution

The third proportional to 3,777.38 and 7,078.88 is: 13,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.38 : 7,078.88 = 7,078.88 : x
  2. Step 2: Convert to fraction form
    3,777.38/7,078.88 = 7,078.88/x
  3. Step 3: Cross multiply
    3,777.38x = 7,078.88 × 7,078.88
  4. Step 4: Simplify right side
    3,777.38x = 50,110,471.27
  5. Step 5: Solve for x
    x = 50,110,471.27/3,777.38
  6. Step 6: Final answer
    x = 13,265.95

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.