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Finding the Third Proportional to 76.13 and 166.03

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Solution

The third proportional to 76.13 and 166.03 is: 362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 166.03 = 166.03 : x
  2. Step 2: Convert to fraction form
    76.13/166.03 = 166.03/x
  3. Step 3: Cross multiply
    76.13x = 166.03 × 166.03
  4. Step 4: Simplify right side
    76.13x = 27,566.38
  5. Step 5: Solve for x
    x = 27,566.38/76.13
  6. Step 6: Final answer
    x = 362.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.