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Finding the Third Proportional to 115.25 and 177.72

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Solution

The third proportional to 115.25 and 177.72 is: 274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 177.72 = 177.72 : x
  2. Step 2: Convert to fraction form
    115.25/177.72 = 177.72/x
  3. Step 3: Cross multiply
    115.25x = 177.72 × 177.72
  4. Step 4: Simplify right side
    115.25x = 31,583.95
  5. Step 5: Solve for x
    x = 31,583.95/115.25
  6. Step 6: Final answer
    x = 274.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.