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Finding the Third Proportional to 305,978 and 666,392

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Solution

The third proportional to 305,978 and 666,392 is: 1,451,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978 : 666,392 = 666,392 : x
  2. Step 2: Convert to fraction form
    305,978/666,392 = 666,392/x
  3. Step 3: Cross multiply
    305,978x = 666,392 × 666,392
  4. Step 4: Simplify right side
    305,978x = 444,078,297,664
  5. Step 5: Solve for x
    x = 444,078,297,664/305,978
  6. Step 6: Final answer
    x = 1,451,340.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.