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Finding the Third Proportional to 171.66 and 251.58

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Solution

The third proportional to 171.66 and 251.58 is: 368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.66 : 251.58 = 251.58 : x
  2. Step 2: Convert to fraction form
    171.66/251.58 = 251.58/x
  3. Step 3: Cross multiply
    171.66x = 251.58 × 251.58
  4. Step 4: Simplify right side
    171.66x = 63,291.55
  5. Step 5: Solve for x
    x = 63,291.55/171.66
  6. Step 6: Final answer
    x = 368.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.