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Finding the Third Proportional to 135.75 and 153.38

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Solution

The third proportional to 135.75 and 153.38 is: 173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 153.38 = 153.38 : x
  2. Step 2: Convert to fraction form
    135.75/153.38 = 153.38/x
  3. Step 3: Cross multiply
    135.75x = 153.38 × 153.38
  4. Step 4: Simplify right side
    135.75x = 23,523.89
  5. Step 5: Solve for x
    x = 23,523.89/135.75
  6. Step 6: Final answer
    x = 173.29

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.