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Finding the Third Proportional to 206,840 and 331,856

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Solution

The third proportional to 206,840 and 331,856 is: 532,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840 : 331,856 = 331,856 : x
  2. Step 2: Convert to fraction form
    206,840/331,856 = 331,856/x
  3. Step 3: Cross multiply
    206,840x = 331,856 × 331,856
  4. Step 4: Simplify right side
    206,840x = 110,128,404,736
  5. Step 5: Solve for x
    x = 110,128,404,736/206,840
  6. Step 6: Final answer
    x = 532,432.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.