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Finding the Third Proportional to 222,664 and 485,289

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Solution

The third proportional to 222,664 and 485,289 is: 1,057,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,664 : 485,289 = 485,289 : x
  2. Step 2: Convert to fraction form
    222,664/485,289 = 485,289/x
  3. Step 3: Cross multiply
    222,664x = 485,289 × 485,289
  4. Step 4: Simplify right side
    222,664x = 235,505,413,521
  5. Step 5: Solve for x
    x = 235,505,413,521/222,664
  6. Step 6: Final answer
    x = 1,057,671.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.