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Finding the Third Proportional to 206,573 and 317,621

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Solution

The third proportional to 206,573 and 317,621 is: 488,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,573 : 317,621 = 317,621 : x
  2. Step 2: Convert to fraction form
    206,573/317,621 = 317,621/x
  3. Step 3: Cross multiply
    206,573x = 317,621 × 317,621
  4. Step 4: Simplify right side
    206,573x = 100,883,099,641
  5. Step 5: Solve for x
    x = 100,883,099,641/206,573
  6. Step 6: Final answer
    x = 488,365.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.