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Finding the Third Proportional to 132,238.41 and 198,360.56

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Solution

The third proportional to 132,238.41 and 198,360.56 is: 297,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,238.41 : 198,360.56 = 198,360.56 : x
  2. Step 2: Convert to fraction form
    132,238.41/198,360.56 = 198,360.56/x
  3. Step 3: Cross multiply
    132,238.41x = 198,360.56 × 198,360.56
  4. Step 4: Simplify right side
    132,238.41x = 39,346,912,755.32
  5. Step 5: Solve for x
    x = 39,346,912,755.32/132,238.41
  6. Step 6: Final answer
    x = 297,545.27

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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.