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Finding the Third Proportional to 381,634 and 823,349

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Solution

The third proportional to 381,634 and 823,349 is: 1,776,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,634 : 823,349 = 823,349 : x
  2. Step 2: Convert to fraction form
    381,634/823,349 = 823,349/x
  3. Step 3: Cross multiply
    381,634x = 823,349 × 823,349
  4. Step 4: Simplify right side
    381,634x = 677,903,575,801
  5. Step 5: Solve for x
    x = 677,903,575,801/381,634
  6. Step 6: Final answer
    x = 1,776,318.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.