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Finding the Third Proportional to 394,843 and 624,676

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Solution

The third proportional to 394,843 and 624,676 is: 988,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,843 : 624,676 = 624,676 : x
  2. Step 2: Convert to fraction form
    394,843/624,676 = 624,676/x
  3. Step 3: Cross multiply
    394,843x = 624,676 × 624,676
  4. Step 4: Simplify right side
    394,843x = 390,220,104,976
  5. Step 5: Solve for x
    x = 390,220,104,976/394,843
  6. Step 6: Final answer
    x = 988,291.81

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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.