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Finding the Third Proportional to 132,241 and 198,360.50

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Solution

The third proportional to 132,241 and 198,360.50 is: 297,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,241 : 198,360.50 = 198,360.50 : x
  2. Step 2: Convert to fraction form
    132,241/198,360.50 = 198,360.50/x
  3. Step 3: Cross multiply
    132,241x = 198,360.50 × 198,360.50
  4. Step 4: Simplify right side
    132,241x = 39,346,887,960.25
  5. Step 5: Solve for x
    x = 39,346,887,960.25/132,241
  6. Step 6: Final answer
    x = 297,539.25

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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.