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Finding the Third Proportional to 198,458.50 and 298,135

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Solution

The third proportional to 198,458.50 and 298,135 is: 447,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,458.50 : 298,135 = 298,135 : x
  2. Step 2: Convert to fraction form
    198,458.50/298,135 = 298,135/x
  3. Step 3: Cross multiply
    198,458.50x = 298,135 × 298,135
  4. Step 4: Simplify right side
    198,458.50x = 88,884,478,225
  5. Step 5: Solve for x
    x = 88,884,478,225/198,458.50
  6. Step 6: Final answer
    x = 447,874.38

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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.