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Finding the Third Proportional to 317,857 and 673,622

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Solution

The third proportional to 317,857 and 673,622 is: 1,427,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,857 : 673,622 = 673,622 : x
  2. Step 2: Convert to fraction form
    317,857/673,622 = 673,622/x
  3. Step 3: Cross multiply
    317,857x = 673,622 × 673,622
  4. Step 4: Simplify right side
    317,857x = 453,766,598,884
  5. Step 5: Solve for x
    x = 453,766,598,884/317,857
  6. Step 6: Final answer
    x = 1,427,580.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.