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Finding the Third Proportional to 166.68 and 245.72

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Solution

The third proportional to 166.68 and 245.72 is: 362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 245.72 = 245.72 : x
  2. Step 2: Convert to fraction form
    166.68/245.72 = 245.72/x
  3. Step 3: Cross multiply
    166.68x = 245.72 × 245.72
  4. Step 4: Simplify right side
    166.68x = 60,380.58
  5. Step 5: Solve for x
    x = 60,380.58/166.68
  6. Step 6: Final answer
    x = 362.26

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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.