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Finding the Third Proportional to 86,340 and 188,652

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Solution

The third proportional to 86,340 and 188,652 is: 412,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,340 : 188,652 = 188,652 : x
  2. Step 2: Convert to fraction form
    86,340/188,652 = 188,652/x
  3. Step 3: Cross multiply
    86,340x = 188,652 × 188,652
  4. Step 4: Simplify right side
    86,340x = 35,589,577,104
  5. Step 5: Solve for x
    x = 35,589,577,104/86,340
  6. Step 6: Final answer
    x = 412,202.65

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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.