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Finding the Third Proportional to 198,703 and 298,869

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Solution

The third proportional to 198,703 and 298,869 is: 449,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,703 : 298,869 = 298,869 : x
  2. Step 2: Convert to fraction form
    198,703/298,869 = 298,869/x
  3. Step 3: Cross multiply
    198,703x = 298,869 × 298,869
  4. Step 4: Simplify right side
    198,703x = 89,322,679,161
  5. Step 5: Solve for x
    x = 89,322,679,161/198,703
  6. Step 6: Final answer
    x = 449,528.59

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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.