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Finding the Third Proportional to 75.09 and 119.06

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Solution

The third proportional to 75.09 and 119.06 is: 188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 119.06 = 119.06 : x
  2. Step 2: Convert to fraction form
    75.09/119.06 = 119.06/x
  3. Step 3: Cross multiply
    75.09x = 119.06 × 119.06
  4. Step 4: Simplify right side
    75.09x = 14,175.88
  5. Step 5: Solve for x
    x = 14,175.88/75.09
  6. Step 6: Final answer
    x = 188.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.