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Finding the Third Proportional to 394,676 and 838,600

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Solution

The third proportional to 394,676 and 838,600 is: 1,781,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,676 : 838,600 = 838,600 : x
  2. Step 2: Convert to fraction form
    394,676/838,600 = 838,600/x
  3. Step 3: Cross multiply
    394,676x = 838,600 × 838,600
  4. Step 4: Simplify right side
    394,676x = 703,249,960,000
  5. Step 5: Solve for x
    x = 703,249,960,000/394,676
  6. Step 6: Final answer
    x = 1,781,841.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.