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Finding the Third Proportional to 115.88 and 254.11

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Solution

The third proportional to 115.88 and 254.11 is: 557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.88 : 254.11 = 254.11 : x
  2. Step 2: Convert to fraction form
    115.88/254.11 = 254.11/x
  3. Step 3: Cross multiply
    115.88x = 254.11 × 254.11
  4. Step 4: Simplify right side
    115.88x = 64,571.57
  5. Step 5: Solve for x
    x = 64,571.57/115.88
  6. Step 6: Final answer
    x = 557.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.