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Finding the Third Proportional to 119.81 and 287.91

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Solution

The third proportional to 119.81 and 287.91 is: 691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.81 : 287.91 = 287.91 : x
  2. Step 2: Convert to fraction form
    119.81/287.91 = 287.91/x
  3. Step 3: Cross multiply
    119.81x = 287.91 × 287.91
  4. Step 4: Simplify right side
    119.81x = 82,890.01
  5. Step 5: Solve for x
    x = 82,890.01/119.81
  6. Step 6: Final answer
    x = 691.83

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.