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Finding the Third Proportional to 86,325 and 188,661

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Solution

The third proportional to 86,325 and 188,661 is: 412,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,325 : 188,661 = 188,661 : x
  2. Step 2: Convert to fraction form
    86,325/188,661 = 188,661/x
  3. Step 3: Cross multiply
    86,325x = 188,661 × 188,661
  4. Step 4: Simplify right side
    86,325x = 35,592,972,921
  5. Step 5: Solve for x
    x = 35,592,972,921/86,325
  6. Step 6: Final answer
    x = 412,313.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.