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Finding the Third Proportional to 54,888 and 111,720

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Solution

The third proportional to 54,888 and 111,720 is: 227,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,888 : 111,720 = 111,720 : x
  2. Step 2: Convert to fraction form
    54,888/111,720 = 111,720/x
  3. Step 3: Cross multiply
    54,888x = 111,720 × 111,720
  4. Step 4: Simplify right side
    54,888x = 12,481,358,400
  5. Step 5: Solve for x
    x = 12,481,358,400/54,888
  6. Step 6: Final answer
    x = 227,396.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.