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Finding the Third Proportional to 8,542.13 and 11,493.56

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Solution

The third proportional to 8,542.13 and 11,493.56 is: 15,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.13 : 11,493.56 = 11,493.56 : x
  2. Step 2: Convert to fraction form
    8,542.13/11,493.56 = 11,493.56/x
  3. Step 3: Cross multiply
    8,542.13x = 11,493.56 × 11,493.56
  4. Step 4: Simplify right side
    8,542.13x = 132,101,978.94
  5. Step 5: Solve for x
    x = 132,101,978.94/8,542.13
  6. Step 6: Final answer
    x = 15,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.