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Finding the Third Proportional to 5,481.42 and 8,721.42

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Solution

The third proportional to 5,481.42 and 8,721.42 is: 13,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.42 : 8,721.42 = 8,721.42 : x
  2. Step 2: Convert to fraction form
    5,481.42/8,721.42 = 8,721.42/x
  3. Step 3: Cross multiply
    5,481.42x = 8,721.42 × 8,721.42
  4. Step 4: Simplify right side
    5,481.42x = 76,063,199.52
  5. Step 5: Solve for x
    x = 76,063,199.52/5,481.42
  6. Step 6: Final answer
    x = 13,876.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.