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Finding the Third Proportional to 366,978 and 548,759

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Solution

The third proportional to 366,978 and 548,759 is: 820,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 548,759 = 548,759 : x
  2. Step 2: Convert to fraction form
    366,978/548,759 = 548,759/x
  3. Step 3: Cross multiply
    366,978x = 548,759 × 548,759
  4. Step 4: Simplify right side
    366,978x = 301,136,440,081
  5. Step 5: Solve for x
    x = 301,136,440,081/366,978
  6. Step 6: Final answer
    x = 820,584.45

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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.