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Finding the Third Proportional to 394,035 and 624,042

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Solution

The third proportional to 394,035 and 624,042 is: 988,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,035 : 624,042 = 624,042 : x
  2. Step 2: Convert to fraction form
    394,035/624,042 = 624,042/x
  3. Step 3: Cross multiply
    394,035x = 624,042 × 624,042
  4. Step 4: Simplify right side
    394,035x = 389,428,417,764
  5. Step 5: Solve for x
    x = 389,428,417,764/394,035
  6. Step 6: Final answer
    x = 988,309.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.