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Finding the Third Proportional to 394,762 and 868,256

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Solution

The third proportional to 394,762 and 868,256 is: 1,909,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,762 : 868,256 = 868,256 : x
  2. Step 2: Convert to fraction form
    394,762/868,256 = 868,256/x
  3. Step 3: Cross multiply
    394,762x = 868,256 × 868,256
  4. Step 4: Simplify right side
    394,762x = 753,868,481,536
  5. Step 5: Solve for x
    x = 753,868,481,536/394,762
  6. Step 6: Final answer
    x = 1,909,678.44

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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.