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Finding the Third Proportional to 381,084 and 804,936

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Solution

The third proportional to 381,084 and 804,936 is: 1,700,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,084 : 804,936 = 804,936 : x
  2. Step 2: Convert to fraction form
    381,084/804,936 = 804,936/x
  3. Step 3: Cross multiply
    381,084x = 804,936 × 804,936
  4. Step 4: Simplify right side
    381,084x = 647,921,964,096
  5. Step 5: Solve for x
    x = 647,921,964,096/381,084
  6. Step 6: Final answer
    x = 1,700,207.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.