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Finding the Third Proportional to 133,800 and 182,245.50

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Solution

The third proportional to 133,800 and 182,245.50 is: 248,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,800 : 182,245.50 = 182,245.50 : x
  2. Step 2: Convert to fraction form
    133,800/182,245.50 = 182,245.50/x
  3. Step 3: Cross multiply
    133,800x = 182,245.50 × 182,245.50
  4. Step 4: Simplify right side
    133,800x = 33,213,422,270.25
  5. Step 5: Solve for x
    x = 33,213,422,270.25/133,800
  6. Step 6: Final answer
    x = 248,231.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.