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Finding the Third Proportional to 394,042 and 842,840

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Solution

The third proportional to 394,042 and 842,840 is: 1,802,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,042 : 842,840 = 842,840 : x
  2. Step 2: Convert to fraction form
    394,042/842,840 = 842,840/x
  3. Step 3: Cross multiply
    394,042x = 842,840 × 842,840
  4. Step 4: Simplify right side
    394,042x = 710,379,265,600
  5. Step 5: Solve for x
    x = 710,379,265,600/394,042
  6. Step 6: Final answer
    x = 1,802,800.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.