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Finding the Third Proportional to 206,396 and 421,540

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Solution

The third proportional to 206,396 and 421,540 is: 860,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,396 : 421,540 = 421,540 : x
  2. Step 2: Convert to fraction form
    206,396/421,540 = 421,540/x
  3. Step 3: Cross multiply
    206,396x = 421,540 × 421,540
  4. Step 4: Simplify right side
    206,396x = 177,695,971,600
  5. Step 5: Solve for x
    x = 177,695,971,600/206,396
  6. Step 6: Final answer
    x = 860,946.78

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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.