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Finding the Third Proportional to 143.44 and 191.53

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Solution

The third proportional to 143.44 and 191.53 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 191.53 = 191.53 : x
  2. Step 2: Convert to fraction form
    143.44/191.53 = 191.53/x
  3. Step 3: Cross multiply
    143.44x = 191.53 × 191.53
  4. Step 4: Simplify right side
    143.44x = 36,684.22
  5. Step 5: Solve for x
    x = 36,684.22/143.44
  6. Step 6: Final answer
    x = 255.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.