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Finding the Third Proportional to 187,978 and 281,904

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Solution

The third proportional to 187,978 and 281,904 is: 422,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,978 : 281,904 = 281,904 : x
  2. Step 2: Convert to fraction form
    187,978/281,904 = 281,904/x
  3. Step 3: Cross multiply
    187,978x = 281,904 × 281,904
  4. Step 4: Simplify right side
    187,978x = 79,469,865,216
  5. Step 5: Solve for x
    x = 79,469,865,216/187,978
  6. Step 6: Final answer
    x = 422,761.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.