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Finding the Third Proportional to 119,978 and 277,757

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Solution

The third proportional to 119,978 and 277,757 is: 643,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978 : 277,757 = 277,757 : x
  2. Step 2: Convert to fraction form
    119,978/277,757 = 277,757/x
  3. Step 3: Cross multiply
    119,978x = 277,757 × 277,757
  4. Step 4: Simplify right side
    119,978x = 77,148,951,049
  5. Step 5: Solve for x
    x = 77,148,951,049/119,978
  6. Step 6: Final answer
    x = 643,025.81

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.