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Finding the Third Proportional to 474,978 and 680,379

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Solution

The third proportional to 474,978 and 680,379 is: 974,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,978 : 680,379 = 680,379 : x
  2. Step 2: Convert to fraction form
    474,978/680,379 = 680,379/x
  3. Step 3: Cross multiply
    474,978x = 680,379 × 680,379
  4. Step 4: Simplify right side
    474,978x = 462,915,583,641
  5. Step 5: Solve for x
    x = 462,915,583,641/474,978
  6. Step 6: Final answer
    x = 974,604.26

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