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Finding the Third Proportional to 206,458 and 421,668

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Solution

The third proportional to 206,458 and 421,668 is: 861,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,458 : 421,668 = 421,668 : x
  2. Step 2: Convert to fraction form
    206,458/421,668 = 421,668/x
  3. Step 3: Cross multiply
    206,458x = 421,668 × 421,668
  4. Step 4: Simplify right side
    206,458x = 177,803,902,224
  5. Step 5: Solve for x
    x = 177,803,902,224/206,458
  6. Step 6: Final answer
    x = 861,211.01

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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.