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Finding the Third Proportional to 137,831 and 221,144

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Solution

The third proportional to 137,831 and 221,144 is: 354,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,831 : 221,144 = 221,144 : x
  2. Step 2: Convert to fraction form
    137,831/221,144 = 221,144/x
  3. Step 3: Cross multiply
    137,831x = 221,144 × 221,144
  4. Step 4: Simplify right side
    137,831x = 48,904,668,736
  5. Step 5: Solve for x
    x = 48,904,668,736/137,831
  6. Step 6: Final answer
    x = 354,816.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.