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Finding the Third Proportional to 88,113 and 132,196

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Solution

The third proportional to 88,113 and 132,196 is: 198,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,113 : 132,196 = 132,196 : x
  2. Step 2: Convert to fraction form
    88,113/132,196 = 132,196/x
  3. Step 3: Cross multiply
    88,113x = 132,196 × 132,196
  4. Step 4: Simplify right side
    88,113x = 17,475,782,416
  5. Step 5: Solve for x
    x = 17,475,782,416/88,113
  6. Step 6: Final answer
    x = 198,333.76

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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.