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Finding the Third Proportional to 86,704 and 188,170

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Solution

The third proportional to 86,704 and 188,170 is: 408,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,704 : 188,170 = 188,170 : x
  2. Step 2: Convert to fraction form
    86,704/188,170 = 188,170/x
  3. Step 3: Cross multiply
    86,704x = 188,170 × 188,170
  4. Step 4: Simplify right side
    86,704x = 35,407,948,900
  5. Step 5: Solve for x
    x = 35,407,948,900/86,704
  6. Step 6: Final answer
    x = 408,377.34

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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.