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Finding the Third Proportional to 206,991 and 303,669

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Solution

The third proportional to 206,991 and 303,669 is: 445,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991 : 303,669 = 303,669 : x
  2. Step 2: Convert to fraction form
    206,991/303,669 = 303,669/x
  3. Step 3: Cross multiply
    206,991x = 303,669 × 303,669
  4. Step 4: Simplify right side
    206,991x = 92,214,861,561
  5. Step 5: Solve for x
    x = 92,214,861,561/206,991
  6. Step 6: Final answer
    x = 445,501.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.