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Finding the Third Proportional to 3,993.84 and 5,234.70

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Solution

The third proportional to 3,993.84 and 5,234.70 is: 6,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.84 : 5,234.70 = 5,234.70 : x
  2. Step 2: Convert to fraction form
    3,993.84/5,234.70 = 5,234.70/x
  3. Step 3: Cross multiply
    3,993.84x = 5,234.70 × 5,234.70
  4. Step 4: Simplify right side
    3,993.84x = 27,402,127.03
  5. Step 5: Solve for x
    x = 27,402,127.03/3,993.84
  6. Step 6: Final answer
    x = 6,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.