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Finding the Third Proportional to 143.86 and 195.33

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Solution

The third proportional to 143.86 and 195.33 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.86 : 195.33 = 195.33 : x
  2. Step 2: Convert to fraction form
    143.86/195.33 = 195.33/x
  3. Step 3: Cross multiply
    143.86x = 195.33 × 195.33
  4. Step 4: Simplify right side
    143.86x = 38,153.08
  5. Step 5: Solve for x
    x = 38,153.08/143.86
  6. Step 6: Final answer
    x = 265.21

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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.