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Finding the Third Proportional to 198,679.50 and 298,458

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Solution

The third proportional to 198,679.50 and 298,458 is: 448,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,679.50 : 298,458 = 298,458 : x
  2. Step 2: Convert to fraction form
    198,679.50/298,458 = 298,458/x
  3. Step 3: Cross multiply
    198,679.50x = 298,458 × 298,458
  4. Step 4: Simplify right side
    198,679.50x = 89,077,177,764
  5. Step 5: Solve for x
    x = 89,077,177,764/198,679.50
  6. Step 6: Final answer
    x = 448,346.09

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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.