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Finding the Third Proportional to 381,882 and 840,006

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Solution

The third proportional to 381,882 and 840,006 is: 1,847,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,882 : 840,006 = 840,006 : x
  2. Step 2: Convert to fraction form
    381,882/840,006 = 840,006/x
  3. Step 3: Cross multiply
    381,882x = 840,006 × 840,006
  4. Step 4: Simplify right side
    381,882x = 705,610,080,036
  5. Step 5: Solve for x
    x = 705,610,080,036/381,882
  6. Step 6: Final answer
    x = 1,847,717.57

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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.