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Finding the Third Proportional to 86,717 and 189,190

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Solution

The third proportional to 86,717 and 189,190 is: 412,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,717 : 189,190 = 189,190 : x
  2. Step 2: Convert to fraction form
    86,717/189,190 = 189,190/x
  3. Step 3: Cross multiply
    86,717x = 189,190 × 189,190
  4. Step 4: Simplify right side
    86,717x = 35,792,856,100
  5. Step 5: Solve for x
    x = 35,792,856,100/86,717
  6. Step 6: Final answer
    x = 412,754.78

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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.