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Finding the Third Proportional to 611.18 and 919.61

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Solution

The third proportional to 611.18 and 919.61 is: 1,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.18 : 919.61 = 919.61 : x
  2. Step 2: Convert to fraction form
    611.18/919.61 = 919.61/x
  3. Step 3: Cross multiply
    611.18x = 919.61 × 919.61
  4. Step 4: Simplify right side
    611.18x = 845,691.73
  5. Step 5: Solve for x
    x = 845,691.73/611.18
  6. Step 6: Final answer
    x = 1,383.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.