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Finding the Third Proportional to 106.06 and 161.38

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Solution

The third proportional to 106.06 and 161.38 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.06 : 161.38 = 161.38 : x
  2. Step 2: Convert to fraction form
    106.06/161.38 = 161.38/x
  3. Step 3: Cross multiply
    106.06x = 161.38 × 161.38
  4. Step 4: Simplify right side
    106.06x = 26,041.89
  5. Step 5: Solve for x
    x = 26,041.89/106.06
  6. Step 6: Final answer
    x = 245.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.