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Finding the Third Proportional to 4,198.50 and 8,742.38

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Solution

The third proportional to 4,198.50 and 8,742.38 is: 18,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 8,742.38 = 8,742.38 : x
  2. Step 2: Convert to fraction form
    4,198.50/8,742.38 = 8,742.38/x
  3. Step 3: Cross multiply
    4,198.50x = 8,742.38 × 8,742.38
  4. Step 4: Simplify right side
    4,198.50x = 76,429,120.64
  5. Step 5: Solve for x
    x = 76,429,120.64/4,198.50
  6. Step 6: Final answer
    x = 18,203.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.