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Finding the Third Proportional to 317,418 and 491,895

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Solution

The third proportional to 317,418 and 491,895 is: 762,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,418 : 491,895 = 491,895 : x
  2. Step 2: Convert to fraction form
    317,418/491,895 = 491,895/x
  3. Step 3: Cross multiply
    317,418x = 491,895 × 491,895
  4. Step 4: Simplify right side
    317,418x = 241,960,691,025
  5. Step 5: Solve for x
    x = 241,960,691,025/317,418
  6. Step 6: Final answer
    x = 762,277.79

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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.