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Finding the Third Proportional to 394,027 and 624,027

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Solution

The third proportional to 394,027 and 624,027 is: 988,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,027 : 624,027 = 624,027 : x
  2. Step 2: Convert to fraction form
    394,027/624,027 = 624,027/x
  3. Step 3: Cross multiply
    394,027x = 624,027 × 624,027
  4. Step 4: Simplify right side
    394,027x = 389,409,696,729
  5. Step 5: Solve for x
    x = 389,409,696,729/394,027
  6. Step 6: Final answer
    x = 988,281.76

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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.