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Finding the Third Proportional to 270,832 and 412,288

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Solution

The third proportional to 270,832 and 412,288 is: 627,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,832 : 412,288 = 412,288 : x
  2. Step 2: Convert to fraction form
    270,832/412,288 = 412,288/x
  3. Step 3: Cross multiply
    270,832x = 412,288 × 412,288
  4. Step 4: Simplify right side
    270,832x = 169,981,394,944
  5. Step 5: Solve for x
    x = 169,981,394,944/270,832
  6. Step 6: Final answer
    x = 627,626.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.