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Finding the Third Proportional to 106.97 and 161.53

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Solution

The third proportional to 106.97 and 161.53 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 161.53 = 161.53 : x
  2. Step 2: Convert to fraction form
    106.97/161.53 = 161.53/x
  3. Step 3: Cross multiply
    106.97x = 161.53 × 161.53
  4. Step 4: Simplify right side
    106.97x = 26,092.34
  5. Step 5: Solve for x
    x = 26,092.34/106.97
  6. Step 6: Final answer
    x = 243.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.