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Finding the Third Proportional to 3,882.78 and 5,508.08

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Solution

The third proportional to 3,882.78 and 5,508.08 is: 7,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.78 : 5,508.08 = 5,508.08 : x
  2. Step 2: Convert to fraction form
    3,882.78/5,508.08 = 5,508.08/x
  3. Step 3: Cross multiply
    3,882.78x = 5,508.08 × 5,508.08
  4. Step 4: Simplify right side
    3,882.78x = 30,338,935.39
  5. Step 5: Solve for x
    x = 30,338,935.39/3,882.78
  6. Step 6: Final answer
    x = 7,813.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.