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Finding the Third Proportional to 86,828 and 189,367

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Solution

The third proportional to 86,828 and 189,367 is: 412,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,828 : 189,367 = 189,367 : x
  2. Step 2: Convert to fraction form
    86,828/189,367 = 189,367/x
  3. Step 3: Cross multiply
    86,828x = 189,367 × 189,367
  4. Step 4: Simplify right side
    86,828x = 35,859,860,689
  5. Step 5: Solve for x
    x = 35,859,860,689/86,828
  6. Step 6: Final answer
    x = 412,998.81

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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.