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Finding the Third Proportional to 204,992 and 434,304

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Solution

The third proportional to 204,992 and 434,304 is: 920,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,992 : 434,304 = 434,304 : x
  2. Step 2: Convert to fraction form
    204,992/434,304 = 434,304/x
  3. Step 3: Cross multiply
    204,992x = 434,304 × 434,304
  4. Step 4: Simplify right side
    204,992x = 188,619,964,416
  5. Step 5: Solve for x
    x = 188,619,964,416/204,992
  6. Step 6: Final answer
    x = 920,133.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.