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Finding the Third Proportional to 394,724 and 868,180

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Solution

The third proportional to 394,724 and 868,180 is: 1,909,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,724 : 868,180 = 868,180 : x
  2. Step 2: Convert to fraction form
    394,724/868,180 = 868,180/x
  3. Step 3: Cross multiply
    394,724x = 868,180 × 868,180
  4. Step 4: Simplify right side
    394,724x = 753,736,512,400
  5. Step 5: Solve for x
    x = 753,736,512,400/394,724
  6. Step 6: Final answer
    x = 1,909,527.95

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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.