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Finding the Third Proportional to 322.31 and 494.44

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Solution

The third proportional to 322.31 and 494.44 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 494.44 = 494.44 : x
  2. Step 2: Convert to fraction form
    322.31/494.44 = 494.44/x
  3. Step 3: Cross multiply
    322.31x = 494.44 × 494.44
  4. Step 4: Simplify right side
    322.31x = 244,468.44
  5. Step 5: Solve for x
    x = 244,468.44/322.31
  6. Step 6: Final answer
    x = 758.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.