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Finding the Third Proportional to 394,785 and 868,278

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Solution

The third proportional to 394,785 and 868,278 is: 1,909,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,785 : 868,278 = 868,278 : x
  2. Step 2: Convert to fraction form
    394,785/868,278 = 868,278/x
  3. Step 3: Cross multiply
    394,785x = 868,278 × 868,278
  4. Step 4: Simplify right side
    394,785x = 753,906,685,284
  5. Step 5: Solve for x
    x = 753,906,685,284/394,785
  6. Step 6: Final answer
    x = 1,909,663.96

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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.