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Finding the Third Proportional to 75.09 and 108.42

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Solution

The third proportional to 75.09 and 108.42 is: 156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 108.42 = 108.42 : x
  2. Step 2: Convert to fraction form
    75.09/108.42 = 108.42/x
  3. Step 3: Cross multiply
    75.09x = 108.42 × 108.42
  4. Step 4: Simplify right side
    75.09x = 11,755.30
  5. Step 5: Solve for x
    x = 11,755.30/75.09
  6. Step 6: Final answer
    x = 156.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.