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Finding the Third Proportional to 206,978 and 303,650

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Solution

The third proportional to 206,978 and 303,650 is: 445,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,978 : 303,650 = 303,650 : x
  2. Step 2: Convert to fraction form
    206,978/303,650 = 303,650/x
  3. Step 3: Cross multiply
    206,978x = 303,650 × 303,650
  4. Step 4: Simplify right side
    206,978x = 92,203,322,500
  5. Step 5: Solve for x
    x = 92,203,322,500/206,978
  6. Step 6: Final answer
    x = 445,474.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.