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Finding the Third Proportional to 88,540 and 132,906

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Solution

The third proportional to 88,540 and 132,906 is: 199,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,540 : 132,906 = 132,906 : x
  2. Step 2: Convert to fraction form
    88,540/132,906 = 132,906/x
  3. Step 3: Cross multiply
    88,540x = 132,906 × 132,906
  4. Step 4: Simplify right side
    88,540x = 17,664,004,836
  5. Step 5: Solve for x
    x = 17,664,004,836/88,540
  6. Step 6: Final answer
    x = 199,503.10

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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.