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Finding the Third Proportional to 88,538 and 132,903

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Solution

The third proportional to 88,538 and 132,903 is: 199,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,538 : 132,903 = 132,903 : x
  2. Step 2: Convert to fraction form
    88,538/132,903 = 132,903/x
  3. Step 3: Cross multiply
    88,538x = 132,903 × 132,903
  4. Step 4: Simplify right side
    88,538x = 17,663,207,409
  5. Step 5: Solve for x
    x = 17,663,207,409/88,538
  6. Step 6: Final answer
    x = 199,498.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.