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Finding the Third Proportional to 2,138.50 and 4,151

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Solution

The third proportional to 2,138.50 and 4,151 is: 8,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.50 : 4,151 = 4,151 : x
  2. Step 2: Convert to fraction form
    2,138.50/4,151 = 4,151/x
  3. Step 3: Cross multiply
    2,138.50x = 4,151 × 4,151
  4. Step 4: Simplify right side
    2,138.50x = 17,230,801
  5. Step 5: Solve for x
    x = 17,230,801/2,138.50
  6. Step 6: Final answer
    x = 8,057.42

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.