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Finding the Third Proportional to 206,401 and 421,549

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Solution

The third proportional to 206,401 and 421,549 is: 860,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401 : 421,549 = 421,549 : x
  2. Step 2: Convert to fraction form
    206,401/421,549 = 421,549/x
  3. Step 3: Cross multiply
    206,401x = 421,549 × 421,549
  4. Step 4: Simplify right side
    206,401x = 177,703,559,401
  5. Step 5: Solve for x
    x = 177,703,559,401/206,401
  6. Step 6: Final answer
    x = 860,962.69

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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.