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Finding the Third Proportional to 86,940 and 132,231

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Solution

The third proportional to 86,940 and 132,231 is: 201,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,940 : 132,231 = 132,231 : x
  2. Step 2: Convert to fraction form
    86,940/132,231 = 132,231/x
  3. Step 3: Cross multiply
    86,940x = 132,231 × 132,231
  4. Step 4: Simplify right side
    86,940x = 17,485,037,361
  5. Step 5: Solve for x
    x = 17,485,037,361/86,940
  6. Step 6: Final answer
    x = 201,116.14

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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.