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Finding the Third Proportional to 222,760 and 480,296

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Solution

The third proportional to 222,760 and 480,296 is: 1,035,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,760 : 480,296 = 480,296 : x
  2. Step 2: Convert to fraction form
    222,760/480,296 = 480,296/x
  3. Step 3: Cross multiply
    222,760x = 480,296 × 480,296
  4. Step 4: Simplify right side
    222,760x = 230,684,247,616
  5. Step 5: Solve for x
    x = 230,684,247,616/222,760
  6. Step 6: Final answer
    x = 1,035,573.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.