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Finding the Third Proportional to 69,831 and 99,738

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Solution

The third proportional to 69,831 and 99,738 is: 142,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,831 : 99,738 = 99,738 : x
  2. Step 2: Convert to fraction form
    69,831/99,738 = 99,738/x
  3. Step 3: Cross multiply
    69,831x = 99,738 × 99,738
  4. Step 4: Simplify right side
    69,831x = 9,947,668,644
  5. Step 5: Solve for x
    x = 9,947,668,644/69,831
  6. Step 6: Final answer
    x = 142,453.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.