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Finding the Third Proportional to 2,137.64 and 3,942.11

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Solution

The third proportional to 2,137.64 and 3,942.11 is: 7,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.64 : 3,942.11 = 3,942.11 : x
  2. Step 2: Convert to fraction form
    2,137.64/3,942.11 = 3,942.11/x
  3. Step 3: Cross multiply
    2,137.64x = 3,942.11 × 3,942.11
  4. Step 4: Simplify right side
    2,137.64x = 15,540,195.53
  5. Step 5: Solve for x
    x = 15,540,195.53/2,137.64
  6. Step 6: Final answer
    x = 7,269.79

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.