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Finding the Third Proportional to 381.38 and 588.09

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Solution

The third proportional to 381.38 and 588.09 is: 906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 588.09 = 588.09 : x
  2. Step 2: Convert to fraction form
    381.38/588.09 = 588.09/x
  3. Step 3: Cross multiply
    381.38x = 588.09 × 588.09
  4. Step 4: Simplify right side
    381.38x = 345,854.26
  5. Step 5: Solve for x
    x = 345,854.26/381.38
  6. Step 6: Final answer
    x = 906.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.