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Finding the Third Proportional to 166.22 and 257.34

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Solution

The third proportional to 166.22 and 257.34 is: 398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.22 : 257.34 = 257.34 : x
  2. Step 2: Convert to fraction form
    166.22/257.34 = 257.34/x
  3. Step 3: Cross multiply
    166.22x = 257.34 × 257.34
  4. Step 4: Simplify right side
    166.22x = 66,225.81
  5. Step 5: Solve for x
    x = 66,225.81/166.22
  6. Step 6: Final answer
    x = 398.43

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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.