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Finding the Third Proportional to 222,444 and 484,056

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Solution

The third proportional to 222,444 and 484,056 is: 1,053,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,444 : 484,056 = 484,056 : x
  2. Step 2: Convert to fraction form
    222,444/484,056 = 484,056/x
  3. Step 3: Cross multiply
    222,444x = 484,056 × 484,056
  4. Step 4: Simplify right side
    222,444x = 234,310,211,136
  5. Step 5: Solve for x
    x = 234,310,211,136/222,444
  6. Step 6: Final answer
    x = 1,053,344.71

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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.