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Finding the Third Proportional to 381,512 and 815,188

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Solution

The third proportional to 381,512 and 815,188 is: 1,741,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,512 : 815,188 = 815,188 : x
  2. Step 2: Convert to fraction form
    381,512/815,188 = 815,188/x
  3. Step 3: Cross multiply
    381,512x = 815,188 × 815,188
  4. Step 4: Simplify right side
    381,512x = 664,531,475,344
  5. Step 5: Solve for x
    x = 664,531,475,344/381,512
  6. Step 6: Final answer
    x = 1,741,836.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.