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Finding the Third Proportional to 166.27 and 257.45

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Solution

The third proportional to 166.27 and 257.45 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.27 : 257.45 = 257.45 : x
  2. Step 2: Convert to fraction form
    166.27/257.45 = 257.45/x
  3. Step 3: Cross multiply
    166.27x = 257.45 × 257.45
  4. Step 4: Simplify right side
    166.27x = 66,280.10
  5. Step 5: Solve for x
    x = 66,280.10/166.27
  6. Step 6: Final answer
    x = 398.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.