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Finding the Third Proportional to 4,078.13 and 5,542.31

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Solution

The third proportional to 4,078.13 and 5,542.31 is: 7,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.13 : 5,542.31 = 5,542.31 : x
  2. Step 2: Convert to fraction form
    4,078.13/5,542.31 = 5,542.31/x
  3. Step 3: Cross multiply
    4,078.13x = 5,542.31 × 5,542.31
  4. Step 4: Simplify right side
    4,078.13x = 30,717,227.85
  5. Step 5: Solve for x
    x = 30,717,227.85/4,078.13
  6. Step 6: Final answer
    x = 7,532.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.