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Finding the Third Proportional to 222,924 and 481,382

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Solution

The third proportional to 222,924 and 481,382 is: 1,039,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,924 : 481,382 = 481,382 : x
  2. Step 2: Convert to fraction form
    222,924/481,382 = 481,382/x
  3. Step 3: Cross multiply
    222,924x = 481,382 × 481,382
  4. Step 4: Simplify right side
    222,924x = 231,728,629,924
  5. Step 5: Solve for x
    x = 231,728,629,924/222,924
  6. Step 6: Final answer
    x = 1,039,496.11

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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.