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Finding the Third Proportional to 222,992 and 482,336

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Solution

The third proportional to 222,992 and 482,336 is: 1,043,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,992 : 482,336 = 482,336 : x
  2. Step 2: Convert to fraction form
    222,992/482,336 = 482,336/x
  3. Step 3: Cross multiply
    222,992x = 482,336 × 482,336
  4. Step 4: Simplify right side
    222,992x = 232,648,016,896
  5. Step 5: Solve for x
    x = 232,648,016,896/222,992
  6. Step 6: Final answer
    x = 1,043,302.08

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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.