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Finding the Third Proportional to 127,668 and 171,738

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Solution

The third proportional to 127,668 and 171,738 is: 231,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,668 : 171,738 = 171,738 : x
  2. Step 2: Convert to fraction form
    127,668/171,738 = 171,738/x
  3. Step 3: Cross multiply
    127,668x = 171,738 × 171,738
  4. Step 4: Simplify right side
    127,668x = 29,493,940,644
  5. Step 5: Solve for x
    x = 29,493,940,644/127,668
  6. Step 6: Final answer
    x = 231,020.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.