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Finding the Third Proportional to 86,832 and 189,216

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Solution

The third proportional to 86,832 and 189,216 is: 412,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,832 : 189,216 = 189,216 : x
  2. Step 2: Convert to fraction form
    86,832/189,216 = 189,216/x
  3. Step 3: Cross multiply
    86,832x = 189,216 × 189,216
  4. Step 4: Simplify right side
    86,832x = 35,802,694,656
  5. Step 5: Solve for x
    x = 35,802,694,656/86,832
  6. Step 6: Final answer
    x = 412,321.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.