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Finding the Third Proportional to 132,927 and 198,520.50

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Solution

The third proportional to 132,927 and 198,520.50 is: 296,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,927 : 198,520.50 = 198,520.50 : x
  2. Step 2: Convert to fraction form
    132,927/198,520.50 = 198,520.50/x
  3. Step 3: Cross multiply
    132,927x = 198,520.50 × 198,520.50
  4. Step 4: Simplify right side
    132,927x = 39,410,388,920.25
  5. Step 5: Solve for x
    x = 39,410,388,920.25/132,927
  6. Step 6: Final answer
    x = 296,481.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.