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Finding the Third Proportional to 205,211 and 327,821

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Solution

The third proportional to 205,211 and 327,821 is: 523,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,211 : 327,821 = 327,821 : x
  2. Step 2: Convert to fraction form
    205,211/327,821 = 327,821/x
  3. Step 3: Cross multiply
    205,211x = 327,821 × 327,821
  4. Step 4: Simplify right side
    205,211x = 107,466,608,041
  5. Step 5: Solve for x
    x = 107,466,608,041/205,211
  6. Step 6: Final answer
    x = 523,688.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.