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Finding the Third Proportional to 143.03 and 194.28

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Solution

The third proportional to 143.03 and 194.28 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.03 : 194.28 = 194.28 : x
  2. Step 2: Convert to fraction form
    143.03/194.28 = 194.28/x
  3. Step 3: Cross multiply
    143.03x = 194.28 × 194.28
  4. Step 4: Simplify right side
    143.03x = 37,745.20
  5. Step 5: Solve for x
    x = 37,745.20/143.03
  6. Step 6: Final answer
    x = 263.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.