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Finding the Third Proportional to 143.14 and 311.92

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Solution

The third proportional to 143.14 and 311.92 is: 679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.14 : 311.92 = 311.92 : x
  2. Step 2: Convert to fraction form
    143.14/311.92 = 311.92/x
  3. Step 3: Cross multiply
    143.14x = 311.92 × 311.92
  4. Step 4: Simplify right side
    143.14x = 97,295.26
  5. Step 5: Solve for x
    x = 97,295.26/143.14
  6. Step 6: Final answer
    x = 679.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.