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Finding the Third Proportional to 54,553.50 and 132,222.38

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Solution

The third proportional to 54,553.50 and 132,222.38 is: 320,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,553.50 : 132,222.38 = 132,222.38 : x
  2. Step 2: Convert to fraction form
    54,553.50/132,222.38 = 132,222.38/x
  3. Step 3: Cross multiply
    54,553.50x = 132,222.38 × 132,222.38
  4. Step 4: Simplify right side
    54,553.50x = 17,482,756,450.64
  5. Step 5: Solve for x
    x = 17,482,756,450.64/54,553.50
  6. Step 6: Final answer
    x = 320,469.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.