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Finding the Third Proportional to 119.88 and 187.81

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Solution

The third proportional to 119.88 and 187.81 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.88 : 187.81 = 187.81 : x
  2. Step 2: Convert to fraction form
    119.88/187.81 = 187.81/x
  3. Step 3: Cross multiply
    119.88x = 187.81 × 187.81
  4. Step 4: Simplify right side
    119.88x = 35,273.54
  5. Step 5: Solve for x
    x = 35,273.54/119.88
  6. Step 6: Final answer
    x = 294.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.