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Finding the Third Proportional to 86,660 and 188,132

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Solution

The third proportional to 86,660 and 188,132 is: 408,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,660 : 188,132 = 188,132 : x
  2. Step 2: Convert to fraction form
    86,660/188,132 = 188,132/x
  3. Step 3: Cross multiply
    86,660x = 188,132 × 188,132
  4. Step 4: Simplify right side
    86,660x = 35,393,649,424
  5. Step 5: Solve for x
    x = 35,393,649,424/86,660
  6. Step 6: Final answer
    x = 408,419.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.