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Finding the Third Proportional to 206,831 and 303,676

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Solution

The third proportional to 206,831 and 303,676 is: 445,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,831 : 303,676 = 303,676 : x
  2. Step 2: Convert to fraction form
    206,831/303,676 = 303,676/x
  3. Step 3: Cross multiply
    206,831x = 303,676 × 303,676
  4. Step 4: Simplify right side
    206,831x = 92,219,112,976
  5. Step 5: Solve for x
    x = 92,219,112,976/206,831
  6. Step 6: Final answer
    x = 445,866.98

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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.