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Finding the Third Proportional to 206,462 and 317,444

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Solution

The third proportional to 206,462 and 317,444 is: 488,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,462 : 317,444 = 317,444 : x
  2. Step 2: Convert to fraction form
    206,462/317,444 = 317,444/x
  3. Step 3: Cross multiply
    206,462x = 317,444 × 317,444
  4. Step 4: Simplify right side
    206,462x = 100,770,693,136
  5. Step 5: Solve for x
    x = 100,770,693,136/206,462
  6. Step 6: Final answer
    x = 488,083.49

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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.