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Finding the Third Proportional to 3,919.64 and 8,451.84

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Solution

The third proportional to 3,919.64 and 8,451.84 is: 18,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 8,451.84 = 8,451.84 : x
  2. Step 2: Convert to fraction form
    3,919.64/8,451.84 = 8,451.84/x
  3. Step 3: Cross multiply
    3,919.64x = 8,451.84 × 8,451.84
  4. Step 4: Simplify right side
    3,919.64x = 71,433,662.77
  5. Step 5: Solve for x
    x = 71,433,662.77/3,919.64
  6. Step 6: Final answer
    x = 18,224.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.