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Finding the Third Proportional to 187,678 and 281,764

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Solution

The third proportional to 187,678 and 281,764 is: 423,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,678 : 281,764 = 281,764 : x
  2. Step 2: Convert to fraction form
    187,678/281,764 = 281,764/x
  3. Step 3: Cross multiply
    187,678x = 281,764 × 281,764
  4. Step 4: Simplify right side
    187,678x = 79,390,951,696
  5. Step 5: Solve for x
    x = 79,390,951,696/187,678
  6. Step 6: Final answer
    x = 423,016.83

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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.