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Finding the Third Proportional to 395,919 and 864,435

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Solution

The third proportional to 395,919 and 864,435 is: 1,887,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,919 : 864,435 = 864,435 : x
  2. Step 2: Convert to fraction form
    395,919/864,435 = 864,435/x
  3. Step 3: Cross multiply
    395,919x = 864,435 × 864,435
  4. Step 4: Simplify right side
    395,919x = 747,247,869,225
  5. Step 5: Solve for x
    x = 747,247,869,225/395,919
  6. Step 6: Final answer
    x = 1,887,375.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.