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Finding the Third Proportional to 381,262 and 825,286

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Solution

The third proportional to 381,262 and 825,286 is: 1,786,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,262 : 825,286 = 825,286 : x
  2. Step 2: Convert to fraction form
    381,262/825,286 = 825,286/x
  3. Step 3: Cross multiply
    381,262x = 825,286 × 825,286
  4. Step 4: Simplify right side
    381,262x = 681,096,981,796
  5. Step 5: Solve for x
    x = 681,096,981,796/381,262
  6. Step 6: Final answer
    x = 1,786,427.66

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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.