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Finding the Third Proportional to 222,366.75 and 476,100.75

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Solution

The third proportional to 222,366.75 and 476,100.75 is: 1,019,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,366.75 : 476,100.75 = 476,100.75 : x
  2. Step 2: Convert to fraction form
    222,366.75/476,100.75 = 476,100.75/x
  3. Step 3: Cross multiply
    222,366.75x = 476,100.75 × 476,100.75
  4. Step 4: Simplify right side
    222,366.75x = 226,671,924,150.56
  5. Step 5: Solve for x
    x = 226,671,924,150.56/222,366.75
  6. Step 6: Final answer
    x = 1,019,360.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.