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Finding the Third Proportional to 198,252 and 297,437.63

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Solution

The third proportional to 198,252 and 297,437.63 is: 446,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252 : 297,437.63 = 297,437.63 : x
  2. Step 2: Convert to fraction form
    198,252/297,437.63 = 297,437.63/x
  3. Step 3: Cross multiply
    198,252x = 297,437.63 × 297,437.63
  4. Step 4: Simplify right side
    198,252x = 88,469,140,765.64
  5. Step 5: Solve for x
    x = 88,469,140,765.64/198,252
  6. Step 6: Final answer
    x = 446,245.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.