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Finding the Third Proportional to 135,162 and 287,812

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Solution

The third proportional to 135,162 and 287,812 is: 612,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,162 : 287,812 = 287,812 : x
  2. Step 2: Convert to fraction form
    135,162/287,812 = 287,812/x
  3. Step 3: Cross multiply
    135,162x = 287,812 × 287,812
  4. Step 4: Simplify right side
    135,162x = 82,835,747,344
  5. Step 5: Solve for x
    x = 82,835,747,344/135,162
  6. Step 6: Final answer
    x = 612,862.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.