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Finding the Third Proportional to 207,923 and 321,821

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Solution

The third proportional to 207,923 and 321,821 is: 498,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,923 : 321,821 = 321,821 : x
  2. Step 2: Convert to fraction form
    207,923/321,821 = 321,821/x
  3. Step 3: Cross multiply
    207,923x = 321,821 × 321,821
  4. Step 4: Simplify right side
    207,923x = 103,568,756,041
  5. Step 5: Solve for x
    x = 103,568,756,041/207,923
  6. Step 6: Final answer
    x = 498,111.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.