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Finding the Third Proportional to 1,961.91 and 4,311.09

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Solution

The third proportional to 1,961.91 and 4,311.09 is: 9,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.91 : 4,311.09 = 4,311.09 : x
  2. Step 2: Convert to fraction form
    1,961.91/4,311.09 = 4,311.09/x
  3. Step 3: Cross multiply
    1,961.91x = 4,311.09 × 4,311.09
  4. Step 4: Simplify right side
    1,961.91x = 18,585,529.32
  5. Step 5: Solve for x
    x = 18,585,529.32/1,961.91
  6. Step 6: Final answer
    x = 9,473.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.