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Finding the Third Proportional to 206,960 and 320,462

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Solution

The third proportional to 206,960 and 320,462 is: 496,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960 : 320,462 = 320,462 : x
  2. Step 2: Convert to fraction form
    206,960/320,462 = 320,462/x
  3. Step 3: Cross multiply
    206,960x = 320,462 × 320,462
  4. Step 4: Simplify right side
    206,960x = 102,695,893,444
  5. Step 5: Solve for x
    x = 102,695,893,444/206,960
  6. Step 6: Final answer
    x = 496,211.31

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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.