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Finding the Third Proportional to 206,589 and 308,923.50

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Solution

The third proportional to 206,589 and 308,923.50 is: 461,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589 : 308,923.50 = 308,923.50 : x
  2. Step 2: Convert to fraction form
    206,589/308,923.50 = 308,923.50/x
  3. Step 3: Cross multiply
    206,589x = 308,923.50 × 308,923.50
  4. Step 4: Simplify right side
    206,589x = 95,433,728,852.25
  5. Step 5: Solve for x
    x = 95,433,728,852.25/206,589
  6. Step 6: Final answer
    x = 461,949.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.