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Finding the Third Proportional to 206,760 and 422,280

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Solution

The third proportional to 206,760 and 422,280 is: 862,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,760 : 422,280 = 422,280 : x
  2. Step 2: Convert to fraction form
    206,760/422,280 = 422,280/x
  3. Step 3: Cross multiply
    206,760x = 422,280 × 422,280
  4. Step 4: Simplify right side
    206,760x = 178,320,398,400
  5. Step 5: Solve for x
    x = 178,320,398,400/206,760
  6. Step 6: Final answer
    x = 862,451.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.