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Finding the Third Proportional to 222,183 and 482,274

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Solution

The third proportional to 222,183 and 482,274 is: 1,046,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,183 : 482,274 = 482,274 : x
  2. Step 2: Convert to fraction form
    222,183/482,274 = 482,274/x
  3. Step 3: Cross multiply
    222,183x = 482,274 × 482,274
  4. Step 4: Simplify right side
    222,183x = 232,588,211,076
  5. Step 5: Solve for x
    x = 232,588,211,076/222,183
  6. Step 6: Final answer
    x = 1,046,831.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.