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Finding the Third Proportional to 439.25 and 519.25

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Solution

The third proportional to 439.25 and 519.25 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.25 : 519.25 = 519.25 : x
  2. Step 2: Convert to fraction form
    439.25/519.25 = 519.25/x
  3. Step 3: Cross multiply
    439.25x = 519.25 × 519.25
  4. Step 4: Simplify right side
    439.25x = 269,620.56
  5. Step 5: Solve for x
    x = 269,620.56/439.25
  6. Step 6: Final answer
    x = 613.82

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.