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Finding the Third Proportional to 171.49 and 272.74

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Solution

The third proportional to 171.49 and 272.74 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 272.74 = 272.74 : x
  2. Step 2: Convert to fraction form
    171.49/272.74 = 272.74/x
  3. Step 3: Cross multiply
    171.49x = 272.74 × 272.74
  4. Step 4: Simplify right side
    171.49x = 74,388.30
  5. Step 5: Solve for x
    x = 74,388.30/171.49
  6. Step 6: Final answer
    x = 433.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.