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Finding the Third Proportional to 206,764 and 422,288

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Solution

The third proportional to 206,764 and 422,288 is: 862,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,764 : 422,288 = 422,288 : x
  2. Step 2: Convert to fraction form
    206,764/422,288 = 422,288/x
  3. Step 3: Cross multiply
    206,764x = 422,288 × 422,288
  4. Step 4: Simplify right side
    206,764x = 178,327,154,944
  5. Step 5: Solve for x
    x = 178,327,154,944/206,764
  6. Step 6: Final answer
    x = 862,467.14

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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.