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Finding the Third Proportional to 198,074 and 297,152

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Solution

The third proportional to 198,074 and 297,152 is: 445,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,074 : 297,152 = 297,152 : x
  2. Step 2: Convert to fraction form
    198,074/297,152 = 297,152/x
  3. Step 3: Cross multiply
    198,074x = 297,152 × 297,152
  4. Step 4: Simplify right side
    198,074x = 88,299,311,104
  5. Step 5: Solve for x
    x = 88,299,311,104/198,074
  6. Step 6: Final answer
    x = 445,789.51

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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.