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Finding the Third Proportional to 208,722 and 317,067

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Solution

The third proportional to 208,722 and 317,067 is: 481,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,722 : 317,067 = 317,067 : x
  2. Step 2: Convert to fraction form
    208,722/317,067 = 317,067/x
  3. Step 3: Cross multiply
    208,722x = 317,067 × 317,067
  4. Step 4: Simplify right side
    208,722x = 100,531,482,489
  5. Step 5: Solve for x
    x = 100,531,482,489/208,722
  6. Step 6: Final answer
    x = 481,652.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.