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Finding the Third Proportional to 171.28 and 258.40

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Solution

The third proportional to 171.28 and 258.40 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.28 : 258.40 = 258.40 : x
  2. Step 2: Convert to fraction form
    171.28/258.40 = 258.40/x
  3. Step 3: Cross multiply
    171.28x = 258.40 × 258.40
  4. Step 4: Simplify right side
    171.28x = 66,769.75
  5. Step 5: Solve for x
    x = 66,769.75/171.28
  6. Step 6: Final answer
    x = 389.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.