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Finding the Third Proportional to 381,517 and 815,198

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Solution

The third proportional to 381,517 and 815,198 is: 1,741,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,517 : 815,198 = 815,198 : x
  2. Step 2: Convert to fraction form
    381,517/815,198 = 815,198/x
  3. Step 3: Cross multiply
    381,517x = 815,198 × 815,198
  4. Step 4: Simplify right side
    381,517x = 664,547,779,204
  5. Step 5: Solve for x
    x = 664,547,779,204/381,517
  6. Step 6: Final answer
    x = 1,741,856.27

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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.