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Finding the Third Proportional to 166.50 and 367.13

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Solution

The third proportional to 166.50 and 367.13 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 367.13 = 367.13 : x
  2. Step 2: Convert to fraction form
    166.50/367.13 = 367.13/x
  3. Step 3: Cross multiply
    166.50x = 367.13 × 367.13
  4. Step 4: Simplify right side
    166.50x = 134,780.77
  5. Step 5: Solve for x
    x = 134,780.77/166.50
  6. Step 6: Final answer
    x = 809.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.