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Finding the Third Proportional to 441.88 and 581.19

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Solution

The third proportional to 441.88 and 581.19 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.88 : 581.19 = 581.19 : x
  2. Step 2: Convert to fraction form
    441.88/581.19 = 581.19/x
  3. Step 3: Cross multiply
    441.88x = 581.19 × 581.19
  4. Step 4: Simplify right side
    441.88x = 337,778.91
  5. Step 5: Solve for x
    x = 337,778.91/441.88
  6. Step 6: Final answer
    x = 764.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.