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Finding the Third Proportional to 3,609 and 5,499

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Solution

The third proportional to 3,609 and 5,499 is: 8,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609 : 5,499 = 5,499 : x
  2. Step 2: Convert to fraction form
    3,609/5,499 = 5,499/x
  3. Step 3: Cross multiply
    3,609x = 5,499 × 5,499
  4. Step 4: Simplify right side
    3,609x = 30,239,001
  5. Step 5: Solve for x
    x = 30,239,001/3,609
  6. Step 6: Final answer
    x = 8,378.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.