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Finding the Third Proportional to 171,867 and 369,129

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Solution

The third proportional to 171,867 and 369,129 is: 792,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,867 : 369,129 = 369,129 : x
  2. Step 2: Convert to fraction form
    171,867/369,129 = 369,129/x
  3. Step 3: Cross multiply
    171,867x = 369,129 × 369,129
  4. Step 4: Simplify right side
    171,867x = 136,256,218,641
  5. Step 5: Solve for x
    x = 136,256,218,641/171,867
  6. Step 6: Final answer
    x = 792,800.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.