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Finding the Third Proportional to 198,307 and 297,899

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Solution

The third proportional to 198,307 and 297,899 is: 447,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,307 : 297,899 = 297,899 : x
  2. Step 2: Convert to fraction form
    198,307/297,899 = 297,899/x
  3. Step 3: Cross multiply
    198,307x = 297,899 × 297,899
  4. Step 4: Simplify right side
    198,307x = 88,743,814,201
  5. Step 5: Solve for x
    x = 88,743,814,201/198,307
  6. Step 6: Final answer
    x = 447,507.22

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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.