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Finding the Third Proportional to 3,427.31 and 5,125.78

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Solution

The third proportional to 3,427.31 and 5,125.78 is: 7,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.31 : 5,125.78 = 5,125.78 : x
  2. Step 2: Convert to fraction form
    3,427.31/5,125.78 = 5,125.78/x
  3. Step 3: Cross multiply
    3,427.31x = 5,125.78 × 5,125.78
  4. Step 4: Simplify right side
    3,427.31x = 26,273,633.42
  5. Step 5: Solve for x
    x = 26,273,633.42/3,427.31
  6. Step 6: Final answer
    x = 7,665.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.