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Finding the Third Proportional to 100,440 and 222,908

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Solution

The third proportional to 100,440 and 222,908 is: 494,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 222,908 = 222,908 : x
  2. Step 2: Convert to fraction form
    100,440/222,908 = 222,908/x
  3. Step 3: Cross multiply
    100,440x = 222,908 × 222,908
  4. Step 4: Simplify right side
    100,440x = 49,687,976,464
  5. Step 5: Solve for x
    x = 49,687,976,464/100,440
  6. Step 6: Final answer
    x = 494,703.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.