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Finding the Third Proportional to 103,451.50 and 222,213.25

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Solution

The third proportional to 103,451.50 and 222,213.25 is: 477,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,451.50 : 222,213.25 = 222,213.25 : x
  2. Step 2: Convert to fraction form
    103,451.50/222,213.25 = 222,213.25/x
  3. Step 3: Cross multiply
    103,451.50x = 222,213.25 × 222,213.25
  4. Step 4: Simplify right side
    103,451.50x = 49,378,728,475.56
  5. Step 5: Solve for x
    x = 49,378,728,475.56/103,451.50
  6. Step 6: Final answer
    x = 477,312.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.