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Finding the Third Proportional to 109.97 and 140.48

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Solution

The third proportional to 109.97 and 140.48 is: 179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 140.48 = 140.48 : x
  2. Step 2: Convert to fraction form
    109.97/140.48 = 140.48/x
  3. Step 3: Cross multiply
    109.97x = 140.48 × 140.48
  4. Step 4: Simplify right side
    109.97x = 19,735.86
  5. Step 5: Solve for x
    x = 19,735.86/109.97
  6. Step 6: Final answer
    x = 179.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.