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Finding the Third Proportional to 305,367 and 667,306.50

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Solution

The third proportional to 305,367 and 667,306.50 is: 1,458,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,367 : 667,306.50 = 667,306.50 : x
  2. Step 2: Convert to fraction form
    305,367/667,306.50 = 667,306.50/x
  3. Step 3: Cross multiply
    305,367x = 667,306.50 × 667,306.50
  4. Step 4: Simplify right side
    305,367x = 445,297,964,942.25
  5. Step 5: Solve for x
    x = 445,297,964,942.25/305,367
  6. Step 6: Final answer
    x = 1,458,238.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.