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Finding the Third Proportional to 222,456 and 484,080

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Solution

The third proportional to 222,456 and 484,080 is: 1,053,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,456 : 484,080 = 484,080 : x
  2. Step 2: Convert to fraction form
    222,456/484,080 = 484,080/x
  3. Step 3: Cross multiply
    222,456x = 484,080 × 484,080
  4. Step 4: Simplify right side
    222,456x = 234,333,446,400
  5. Step 5: Solve for x
    x = 234,333,446,400/222,456
  6. Step 6: Final answer
    x = 1,053,392.34

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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.