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Finding the Third Proportional to 135,441 and 209,601

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Solution

The third proportional to 135,441 and 209,601 is: 324,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,441 : 209,601 = 209,601 : x
  2. Step 2: Convert to fraction form
    135,441/209,601 = 209,601/x
  3. Step 3: Cross multiply
    135,441x = 209,601 × 209,601
  4. Step 4: Simplify right side
    135,441x = 43,932,579,201
  5. Step 5: Solve for x
    x = 43,932,579,201/135,441
  6. Step 6: Final answer
    x = 324,366.91

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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.