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Finding the Third Proportional to 215,872 and 440,304

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Solution

The third proportional to 215,872 and 440,304 is: 898,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872 : 440,304 = 440,304 : x
  2. Step 2: Convert to fraction form
    215,872/440,304 = 440,304/x
  3. Step 3: Cross multiply
    215,872x = 440,304 × 440,304
  4. Step 4: Simplify right side
    215,872x = 193,867,612,416
  5. Step 5: Solve for x
    x = 193,867,612,416/215,872
  6. Step 6: Final answer
    x = 898,067.43

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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.