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Finding the Third Proportional to 198,439.50 and 435,419.25

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Solution

The third proportional to 198,439.50 and 435,419.25 is: 955,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,439.50 : 435,419.25 = 435,419.25 : x
  2. Step 2: Convert to fraction form
    198,439.50/435,419.25 = 435,419.25/x
  3. Step 3: Cross multiply
    198,439.50x = 435,419.25 × 435,419.25
  4. Step 4: Simplify right side
    198,439.50x = 189,589,923,270.56
  5. Step 5: Solve for x
    x = 189,589,923,270.56/198,439.50
  6. Step 6: Final answer
    x = 955,404.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.