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Finding the Third Proportional to 394,039 and 624,046

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Solution

The third proportional to 394,039 and 624,046 is: 988,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,039 : 624,046 = 624,046 : x
  2. Step 2: Convert to fraction form
    394,039/624,046 = 624,046/x
  3. Step 3: Cross multiply
    394,039x = 624,046 × 624,046
  4. Step 4: Simplify right side
    394,039x = 389,433,410,116
  5. Step 5: Solve for x
    x = 389,433,410,116/394,039
  6. Step 6: Final answer
    x = 988,311.84

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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.