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Finding the Third Proportional to 317,188 and 491,718

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Solution

The third proportional to 317,188 and 491,718 is: 762,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,188 : 491,718 = 491,718 : x
  2. Step 2: Convert to fraction form
    317,188/491,718 = 491,718/x
  3. Step 3: Cross multiply
    317,188x = 491,718 × 491,718
  4. Step 4: Simplify right side
    317,188x = 241,786,591,524
  5. Step 5: Solve for x
    x = 241,786,591,524/317,188
  6. Step 6: Final answer
    x = 762,281.65

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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.