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Finding the Third Proportional to 222,790.50 and 295,427.25

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Solution

The third proportional to 222,790.50 and 295,427.25 is: 391,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,790.50 : 295,427.25 = 295,427.25 : x
  2. Step 2: Convert to fraction form
    222,790.50/295,427.25 = 295,427.25/x
  3. Step 3: Cross multiply
    222,790.50x = 295,427.25 × 295,427.25
  4. Step 4: Simplify right side
    222,790.50x = 87,277,260,042.56
  5. Step 5: Solve for x
    x = 87,277,260,042.56/222,790.50
  6. Step 6: Final answer
    x = 391,745.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.