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Finding the Third Proportional to 86,976 and 132,286

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Solution

The third proportional to 86,976 and 132,286 is: 201,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,976 : 132,286 = 132,286 : x
  2. Step 2: Convert to fraction form
    86,976/132,286 = 132,286/x
  3. Step 3: Cross multiply
    86,976x = 132,286 × 132,286
  4. Step 4: Simplify right side
    86,976x = 17,499,585,796
  5. Step 5: Solve for x
    x = 17,499,585,796/86,976
  6. Step 6: Final answer
    x = 201,200.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.