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Finding the Third Proportional to 54,476 and 111,256

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Solution

The third proportional to 54,476 and 111,256 is: 227,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,476 : 111,256 = 111,256 : x
  2. Step 2: Convert to fraction form
    54,476/111,256 = 111,256/x
  3. Step 3: Cross multiply
    54,476x = 111,256 × 111,256
  4. Step 4: Simplify right side
    54,476x = 12,377,897,536
  5. Step 5: Solve for x
    x = 12,377,897,536/54,476
  6. Step 6: Final answer
    x = 227,217.45

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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.