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Finding the Third Proportional to 115.94 and 255.13

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Solution

The third proportional to 115.94 and 255.13 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.94 : 255.13 = 255.13 : x
  2. Step 2: Convert to fraction form
    115.94/255.13 = 255.13/x
  3. Step 3: Cross multiply
    115.94x = 255.13 × 255.13
  4. Step 4: Simplify right side
    115.94x = 65,088.77
  5. Step 5: Solve for x
    x = 65,088.77/115.94
  6. Step 6: Final answer
    x = 561.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.