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Finding the Third Proportional to 85,198 and 133,661

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Solution

The third proportional to 85,198 and 133,661 is: 209,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198 : 133,661 = 133,661 : x
  2. Step 2: Convert to fraction form
    85,198/133,661 = 133,661/x
  3. Step 3: Cross multiply
    85,198x = 133,661 × 133,661
  4. Step 4: Simplify right side
    85,198x = 17,865,262,921
  5. Step 5: Solve for x
    x = 17,865,262,921/85,198
  6. Step 6: Final answer
    x = 209,691.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.