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Finding the Third Proportional to 174.88 and 272.69

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Solution

The third proportional to 174.88 and 272.69 is: 425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.88 : 272.69 = 272.69 : x
  2. Step 2: Convert to fraction form
    174.88/272.69 = 272.69/x
  3. Step 3: Cross multiply
    174.88x = 272.69 × 272.69
  4. Step 4: Simplify right side
    174.88x = 74,358.47
  5. Step 5: Solve for x
    x = 74,358.47/174.88
  6. Step 6: Final answer
    x = 425.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.