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Finding the Third Proportional to 86,112 and 189,198

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Solution

The third proportional to 86,112 and 189,198 is: 415,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,112 : 189,198 = 189,198 : x
  2. Step 2: Convert to fraction form
    86,112/189,198 = 189,198/x
  3. Step 3: Cross multiply
    86,112x = 189,198 × 189,198
  4. Step 4: Simplify right side
    86,112x = 35,795,883,204
  5. Step 5: Solve for x
    x = 35,795,883,204/86,112
  6. Step 6: Final answer
    x = 415,689.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.