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Finding the Third Proportional to 212,960 and 330,204

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Solution

The third proportional to 212,960 and 330,204 is: 511,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,960 : 330,204 = 330,204 : x
  2. Step 2: Convert to fraction form
    212,960/330,204 = 330,204/x
  3. Step 3: Cross multiply
    212,960x = 330,204 × 330,204
  4. Step 4: Simplify right side
    212,960x = 109,034,681,616
  5. Step 5: Solve for x
    x = 109,034,681,616/212,960
  6. Step 6: Final answer
    x = 511,996.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.