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Finding the Third Proportional to 394,086 and 624,117

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Solution

The third proportional to 394,086 and 624,117 is: 988,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,086 : 624,117 = 624,117 : x
  2. Step 2: Convert to fraction form
    394,086/624,117 = 624,117/x
  3. Step 3: Cross multiply
    394,086x = 624,117 × 624,117
  4. Step 4: Simplify right side
    394,086x = 389,522,029,689
  5. Step 5: Solve for x
    x = 389,522,029,689/394,086
  6. Step 6: Final answer
    x = 988,418.85

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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.