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Finding the Third Proportional to 222,141 and 316,591.50

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Solution

The third proportional to 222,141 and 316,591.50 is: 451,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,141 : 316,591.50 = 316,591.50 : x
  2. Step 2: Convert to fraction form
    222,141/316,591.50 = 316,591.50/x
  3. Step 3: Cross multiply
    222,141x = 316,591.50 × 316,591.50
  4. Step 4: Simplify right side
    222,141x = 100,230,177,872.25
  5. Step 5: Solve for x
    x = 100,230,177,872.25/222,141
  6. Step 6: Final answer
    x = 451,200.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.