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Finding the Third Proportional to 222,050 and 452,324

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Solution

The third proportional to 222,050 and 452,324 is: 921,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,050 : 452,324 = 452,324 : x
  2. Step 2: Convert to fraction form
    222,050/452,324 = 452,324/x
  3. Step 3: Cross multiply
    222,050x = 452,324 × 452,324
  4. Step 4: Simplify right side
    222,050x = 204,597,000,976
  5. Step 5: Solve for x
    x = 204,597,000,976/222,050
  6. Step 6: Final answer
    x = 921,400.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.