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Finding the Third Proportional to 54,138.38 and 120,274.88

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Solution

The third proportional to 54,138.38 and 120,274.88 is: 267,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138.38 : 120,274.88 = 120,274.88 : x
  2. Step 2: Convert to fraction form
    54,138.38/120,274.88 = 120,274.88/x
  3. Step 3: Cross multiply
    54,138.38x = 120,274.88 × 120,274.88
  4. Step 4: Simplify right side
    54,138.38x = 14,466,045,556.27
  5. Step 5: Solve for x
    x = 14,466,045,556.27/54,138.38
  6. Step 6: Final answer
    x = 267,205.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.