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Finding the Third Proportional to 172,016 and 356,176

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Solution

The third proportional to 172,016 and 356,176 is: 737,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,016 : 356,176 = 356,176 : x
  2. Step 2: Convert to fraction form
    172,016/356,176 = 356,176/x
  3. Step 3: Cross multiply
    172,016x = 356,176 × 356,176
  4. Step 4: Simplify right side
    172,016x = 126,861,342,976
  5. Step 5: Solve for x
    x = 126,861,342,976/172,016
  6. Step 6: Final answer
    x = 737,497.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.