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Finding the Third Proportional to 442.38 and 581.94

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Solution

The third proportional to 442.38 and 581.94 is: 765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 581.94 = 581.94 : x
  2. Step 2: Convert to fraction form
    442.38/581.94 = 581.94/x
  3. Step 3: Cross multiply
    442.38x = 581.94 × 581.94
  4. Step 4: Simplify right side
    442.38x = 338,651.25
  5. Step 5: Solve for x
    x = 338,651.25/442.38
  6. Step 6: Final answer
    x = 765.53

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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.