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Finding the Third Proportional to 198,442.41 and 298,110.38

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Solution

The third proportional to 198,442.41 and 298,110.38 is: 447,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,442.41 : 298,110.38 = 298,110.38 : x
  2. Step 2: Convert to fraction form
    198,442.41/298,110.38 = 298,110.38/x
  3. Step 3: Cross multiply
    198,442.41x = 298,110.38 × 298,110.38
  4. Step 4: Simplify right side
    198,442.41x = 88,869,795,682.64
  5. Step 5: Solve for x
    x = 88,869,795,682.64/198,442.41
  6. Step 6: Final answer
    x = 447,836.72

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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.