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Finding the Third Proportional to 55,978 and 120,976

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Solution

The third proportional to 55,978 and 120,976 is: 261,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978 : 120,976 = 120,976 : x
  2. Step 2: Convert to fraction form
    55,978/120,976 = 120,976/x
  3. Step 3: Cross multiply
    55,978x = 120,976 × 120,976
  4. Step 4: Simplify right side
    55,978x = 14,635,192,576
  5. Step 5: Solve for x
    x = 14,635,192,576/55,978
  6. Step 6: Final answer
    x = 261,445.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.