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Finding the Third Proportional to 311,978 and 482,667

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Solution

The third proportional to 311,978 and 482,667 is: 746,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,978 : 482,667 = 482,667 : x
  2. Step 2: Convert to fraction form
    311,978/482,667 = 482,667/x
  3. Step 3: Cross multiply
    311,978x = 482,667 × 482,667
  4. Step 4: Simplify right side
    311,978x = 232,967,432,889
  5. Step 5: Solve for x
    x = 232,967,432,889/311,978
  6. Step 6: Final answer
    x = 746,743.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.