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Finding the Third Proportional to 206,402 and 421,548

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Solution

The third proportional to 206,402 and 421,548 is: 860,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,402 : 421,548 = 421,548 : x
  2. Step 2: Convert to fraction form
    206,402/421,548 = 421,548/x
  3. Step 3: Cross multiply
    206,402x = 421,548 × 421,548
  4. Step 4: Simplify right side
    206,402x = 177,702,716,304
  5. Step 5: Solve for x
    x = 177,702,716,304/206,402
  6. Step 6: Final answer
    x = 860,954.43

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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.