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Finding the Third Proportional to 3,940 and 5,696

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Solution

The third proportional to 3,940 and 5,696 is: 8,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 5,696 = 5,696 : x
  2. Step 2: Convert to fraction form
    3,940/5,696 = 5,696/x
  3. Step 3: Cross multiply
    3,940x = 5,696 × 5,696
  4. Step 4: Simplify right side
    3,940x = 32,444,416
  5. Step 5: Solve for x
    x = 32,444,416/3,940
  6. Step 6: Final answer
    x = 8,234.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.