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Finding the Third Proportional to 317,198.25 and 491,913

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Solution

The third proportional to 317,198.25 and 491,913 is: 762,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,198.25 : 491,913 = 491,913 : x
  2. Step 2: Convert to fraction form
    317,198.25/491,913 = 491,913/x
  3. Step 3: Cross multiply
    317,198.25x = 491,913 × 491,913
  4. Step 4: Simplify right side
    317,198.25x = 241,978,399,569
  5. Step 5: Solve for x
    x = 241,978,399,569/317,198.25
  6. Step 6: Final answer
    x = 762,861.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.