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Finding the Third Proportional to 843.56 and 1,811.44

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Solution

The third proportional to 843.56 and 1,811.44 is: 3,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.56 : 1,811.44 = 1,811.44 : x
  2. Step 2: Convert to fraction form
    843.56/1,811.44 = 1,811.44/x
  3. Step 3: Cross multiply
    843.56x = 1,811.44 × 1,811.44
  4. Step 4: Simplify right side
    843.56x = 3,281,305.82
  5. Step 5: Solve for x
    x = 3,281,305.82/843.56
  6. Step 6: Final answer
    x = 3,889.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.