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Finding the Third Proportional to 381.38 and 415.69

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Solution

The third proportional to 381.38 and 415.69 is: 453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 415.69 = 415.69 : x
  2. Step 2: Convert to fraction form
    381.38/415.69 = 415.69/x
  3. Step 3: Cross multiply
    381.38x = 415.69 × 415.69
  4. Step 4: Simplify right side
    381.38x = 172,796.10
  5. Step 5: Solve for x
    x = 172,796.10/381.38
  6. Step 6: Final answer
    x = 453.09

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.