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Finding the Third Proportional to 140,441.50 and 198,720.50

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Solution

The third proportional to 140,441.50 and 198,720.50 is: 281,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,441.50 : 198,720.50 = 198,720.50 : x
  2. Step 2: Convert to fraction form
    140,441.50/198,720.50 = 198,720.50/x
  3. Step 3: Cross multiply
    140,441.50x = 198,720.50 × 198,720.50
  4. Step 4: Simplify right side
    140,441.50x = 39,489,837,120.25
  5. Step 5: Solve for x
    x = 39,489,837,120.25/140,441.50
  6. Step 6: Final answer
    x = 281,183.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.