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Finding the Third Proportional to 206,416 and 421,576

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Solution

The third proportional to 206,416 and 421,576 is: 861,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416 : 421,576 = 421,576 : x
  2. Step 2: Convert to fraction form
    206,416/421,576 = 421,576/x
  3. Step 3: Cross multiply
    206,416x = 421,576 × 421,576
  4. Step 4: Simplify right side
    206,416x = 177,726,323,776
  5. Step 5: Solve for x
    x = 177,726,323,776/206,416
  6. Step 6: Final answer
    x = 861,010.41

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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.