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Finding the Third Proportional to 381,478 and 837,644

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Solution

The third proportional to 381,478 and 837,644 is: 1,839,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,478 : 837,644 = 837,644 : x
  2. Step 2: Convert to fraction form
    381,478/837,644 = 837,644/x
  3. Step 3: Cross multiply
    381,478x = 837,644 × 837,644
  4. Step 4: Simplify right side
    381,478x = 701,647,470,736
  5. Step 5: Solve for x
    x = 701,647,470,736/381,478
  6. Step 6: Final answer
    x = 1,839,286.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.