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Finding the Third Proportional to 140.06 and 311.06

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Solution

The third proportional to 140.06 and 311.06 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 311.06 = 311.06 : x
  2. Step 2: Convert to fraction form
    140.06/311.06 = 311.06/x
  3. Step 3: Cross multiply
    140.06x = 311.06 × 311.06
  4. Step 4: Simplify right side
    140.06x = 96,759.88
  5. Step 5: Solve for x
    x = 96,759.88/140.06
  6. Step 6: Final answer
    x = 690.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.