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Finding the Third Proportional to 222,414.75 and 463,261.50

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Solution

The third proportional to 222,414.75 and 463,261.50 is: 964,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,414.75 : 463,261.50 = 463,261.50 : x
  2. Step 2: Convert to fraction form
    222,414.75/463,261.50 = 463,261.50/x
  3. Step 3: Cross multiply
    222,414.75x = 463,261.50 × 463,261.50
  4. Step 4: Simplify right side
    222,414.75x = 214,611,217,382.25
  5. Step 5: Solve for x
    x = 214,611,217,382.25/222,414.75
  6. Step 6: Final answer
    x = 964,914.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.