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Finding the Third Proportional to 394,764 and 868,254

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Solution

The third proportional to 394,764 and 868,254 is: 1,909,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,764 : 868,254 = 868,254 : x
  2. Step 2: Convert to fraction form
    394,764/868,254 = 868,254/x
  3. Step 3: Cross multiply
    394,764x = 868,254 × 868,254
  4. Step 4: Simplify right side
    394,764x = 753,865,008,516
  5. Step 5: Solve for x
    x = 753,865,008,516/394,764
  6. Step 6: Final answer
    x = 1,909,659.97

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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.