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Finding the Third Proportional to 65,831 and 144,163

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Solution

The third proportional to 65,831 and 144,163 is: 315,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831 : 144,163 = 144,163 : x
  2. Step 2: Convert to fraction form
    65,831/144,163 = 144,163/x
  3. Step 3: Cross multiply
    65,831x = 144,163 × 144,163
  4. Step 4: Simplify right side
    65,831x = 20,782,970,569
  5. Step 5: Solve for x
    x = 20,782,970,569/65,831
  6. Step 6: Final answer
    x = 315,701.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.