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Finding the Third Proportional to 135,978 and 298,836

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Solution

The third proportional to 135,978 and 298,836 is: 656,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978 : 298,836 = 298,836 : x
  2. Step 2: Convert to fraction form
    135,978/298,836 = 298,836/x
  3. Step 3: Cross multiply
    135,978x = 298,836 × 298,836
  4. Step 4: Simplify right side
    135,978x = 89,302,954,896
  5. Step 5: Solve for x
    x = 89,302,954,896/135,978
  6. Step 6: Final answer
    x = 656,745.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.