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Finding the Third Proportional to 206,646 and 422,058

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Solution

The third proportional to 206,646 and 422,058 is: 862,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646 : 422,058 = 422,058 : x
  2. Step 2: Convert to fraction form
    206,646/422,058 = 422,058/x
  3. Step 3: Cross multiply
    206,646x = 422,058 × 422,058
  4. Step 4: Simplify right side
    206,646x = 178,132,955,364
  5. Step 5: Solve for x
    x = 178,132,955,364/206,646
  6. Step 6: Final answer
    x = 862,019.86

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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.