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Finding the Third Proportional to 317,229 and 491,949

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Solution

The third proportional to 317,229 and 491,949 is: 762,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,229 : 491,949 = 491,949 : x
  2. Step 2: Convert to fraction form
    317,229/491,949 = 491,949/x
  3. Step 3: Cross multiply
    317,229x = 491,949 × 491,949
  4. Step 4: Simplify right side
    317,229x = 242,013,818,601
  5. Step 5: Solve for x
    x = 242,013,818,601/317,229
  6. Step 6: Final answer
    x = 762,899.42

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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.