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Finding the Third Proportional to 4,328.44 and 8,198.72

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Solution

The third proportional to 4,328.44 and 8,198.72 is: 15,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.44 : 8,198.72 = 8,198.72 : x
  2. Step 2: Convert to fraction form
    4,328.44/8,198.72 = 8,198.72/x
  3. Step 3: Cross multiply
    4,328.44x = 8,198.72 × 8,198.72
  4. Step 4: Simplify right side
    4,328.44x = 67,218,989.14
  5. Step 5: Solve for x
    x = 67,218,989.14/4,328.44
  6. Step 6: Final answer
    x = 15,529.62

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.