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Finding the Third Proportional to 206,977 and 303,651

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Solution

The third proportional to 206,977 and 303,651 is: 445,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977 : 303,651 = 303,651 : x
  2. Step 2: Convert to fraction form
    206,977/303,651 = 303,651/x
  3. Step 3: Cross multiply
    206,977x = 303,651 × 303,651
  4. Step 4: Simplify right side
    206,977x = 92,203,929,801
  5. Step 5: Solve for x
    x = 92,203,929,801/206,977
  6. Step 6: Final answer
    x = 445,479.11

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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.