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Finding the Third Proportional to 381.38 and 812.11

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Solution

The third proportional to 381.38 and 812.11 is: 1,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 812.11 = 812.11 : x
  2. Step 2: Convert to fraction form
    381.38/812.11 = 812.11/x
  3. Step 3: Cross multiply
    381.38x = 812.11 × 812.11
  4. Step 4: Simplify right side
    381.38x = 659,521.64
  5. Step 5: Solve for x
    x = 659,521.64/381.38
  6. Step 6: Final answer
    x = 1,729.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.