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Finding the Third Proportional to 317,235 and 491,958

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Solution

The third proportional to 317,235 and 491,958 is: 762,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,235 : 491,958 = 491,958 : x
  2. Step 2: Convert to fraction form
    317,235/491,958 = 491,958/x
  3. Step 3: Cross multiply
    317,235x = 491,958 × 491,958
  4. Step 4: Simplify right side
    317,235x = 242,022,673,764
  5. Step 5: Solve for x
    x = 242,022,673,764/317,235
  6. Step 6: Final answer
    x = 762,912.90

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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.