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Finding the Third Proportional to 1,138.78 and 2,452.31

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Solution

The third proportional to 1,138.78 and 2,452.31 is: 5,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.78 : 2,452.31 = 2,452.31 : x
  2. Step 2: Convert to fraction form
    1,138.78/2,452.31 = 2,452.31/x
  3. Step 3: Cross multiply
    1,138.78x = 2,452.31 × 2,452.31
  4. Step 4: Simplify right side
    1,138.78x = 6,013,836.60
  5. Step 5: Solve for x
    x = 6,013,836.60/1,138.78
  6. Step 6: Final answer
    x = 5,280.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.