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Finding the Third Proportional to 3,861 and 6,216.75

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Solution

The third proportional to 3,861 and 6,216.75 is: 10,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861 : 6,216.75 = 6,216.75 : x
  2. Step 2: Convert to fraction form
    3,861/6,216.75 = 6,216.75/x
  3. Step 3: Cross multiply
    3,861x = 6,216.75 × 6,216.75
  4. Step 4: Simplify right side
    3,861x = 38,647,980.56
  5. Step 5: Solve for x
    x = 38,647,980.56/3,861
  6. Step 6: Final answer
    x = 10,009.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.