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Finding the Third Proportional to 222,976 and 476,480

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Solution

The third proportional to 222,976 and 476,480 is: 1,018,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,976 : 476,480 = 476,480 : x
  2. Step 2: Convert to fraction form
    222,976/476,480 = 476,480/x
  3. Step 3: Cross multiply
    222,976x = 476,480 × 476,480
  4. Step 4: Simplify right side
    222,976x = 227,033,190,400
  5. Step 5: Solve for x
    x = 227,033,190,400/222,976
  6. Step 6: Final answer
    x = 1,018,195.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.