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Finding the Third Proportional to 2,138.06 and 3,221.44

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Solution

The third proportional to 2,138.06 and 3,221.44 is: 4,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,221.44 = 3,221.44 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,221.44 = 3,221.44/x
  3. Step 3: Cross multiply
    2,138.06x = 3,221.44 × 3,221.44
  4. Step 4: Simplify right side
    2,138.06x = 10,377,659.57
  5. Step 5: Solve for x
    x = 10,377,659.57/2,138.06
  6. Step 6: Final answer
    x = 4,853.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.