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Finding the Third Proportional to 88,197 and 132,494

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Solution

The third proportional to 88,197 and 132,494 is: 199,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,197 : 132,494 = 132,494 : x
  2. Step 2: Convert to fraction form
    88,197/132,494 = 132,494/x
  3. Step 3: Cross multiply
    88,197x = 132,494 × 132,494
  4. Step 4: Simplify right side
    88,197x = 17,554,660,036
  5. Step 5: Solve for x
    x = 17,554,660,036/88,197
  6. Step 6: Final answer
    x = 199,039.20

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