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Finding the Third Proportional to 86,318 and 188,327

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Solution

The third proportional to 86,318 and 188,327 is: 410,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,318 : 188,327 = 188,327 : x
  2. Step 2: Convert to fraction form
    86,318/188,327 = 188,327/x
  3. Step 3: Cross multiply
    86,318x = 188,327 × 188,327
  4. Step 4: Simplify right side
    86,318x = 35,467,058,929
  5. Step 5: Solve for x
    x = 35,467,058,929/86,318
  6. Step 6: Final answer
    x = 410,888.33

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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.