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Finding the Third Proportional to 366,978 and 516,782

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Solution

The third proportional to 366,978 and 516,782 is: 727,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 516,782 = 516,782 : x
  2. Step 2: Convert to fraction form
    366,978/516,782 = 516,782/x
  3. Step 3: Cross multiply
    366,978x = 516,782 × 516,782
  4. Step 4: Simplify right side
    366,978x = 267,063,635,524
  5. Step 5: Solve for x
    x = 267,063,635,524/366,978
  6. Step 6: Final answer
    x = 727,737.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.