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Finding the Third Proportional to 381,227 and 814,807

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Solution

The third proportional to 381,227 and 814,807 is: 1,741,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,227 : 814,807 = 814,807 : x
  2. Step 2: Convert to fraction form
    381,227/814,807 = 814,807/x
  3. Step 3: Cross multiply
    381,227x = 814,807 × 814,807
  4. Step 4: Simplify right side
    381,227x = 663,910,447,249
  5. Step 5: Solve for x
    x = 663,910,447,249/381,227
  6. Step 6: Final answer
    x = 1,741,509.51

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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.