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Finding the Third Proportional to 381,690 and 815,868

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Solution

The third proportional to 381,690 and 815,868 is: 1,743,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,690 : 815,868 = 815,868 : x
  2. Step 2: Convert to fraction form
    381,690/815,868 = 815,868/x
  3. Step 3: Cross multiply
    381,690x = 815,868 × 815,868
  4. Step 4: Simplify right side
    381,690x = 665,640,593,424
  5. Step 5: Solve for x
    x = 665,640,593,424/381,690
  6. Step 6: Final answer
    x = 1,743,929.87

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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.