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Finding the Third Proportional to 222,044 and 327,186

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Solution

The third proportional to 222,044 and 327,186 is: 482,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,044 : 327,186 = 327,186 : x
  2. Step 2: Convert to fraction form
    222,044/327,186 = 327,186/x
  3. Step 3: Cross multiply
    222,044x = 327,186 × 327,186
  4. Step 4: Simplify right side
    222,044x = 107,050,678,596
  5. Step 5: Solve for x
    x = 107,050,678,596/222,044
  6. Step 6: Final answer
    x = 482,114.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.