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Finding the Third Proportional to 172,042 and 356,179

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Solution

The third proportional to 172,042 and 356,179 is: 737,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,042 : 356,179 = 356,179 : x
  2. Step 2: Convert to fraction form
    172,042/356,179 = 356,179/x
  3. Step 3: Cross multiply
    172,042x = 356,179 × 356,179
  4. Step 4: Simplify right side
    172,042x = 126,863,480,041
  5. Step 5: Solve for x
    x = 126,863,480,041/172,042
  6. Step 6: Final answer
    x = 737,398.31

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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.