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Finding the Third Proportional to 83.75 and 189

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Solution

The third proportional to 83.75 and 189 is: 426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 189 = 189 : x
  2. Step 2: Convert to fraction form
    83.75/189 = 189/x
  3. Step 3: Cross multiply
    83.75x = 189 × 189
  4. Step 4: Simplify right side
    83.75x = 35,721
  5. Step 5: Solve for x
    x = 35,721/83.75
  6. Step 6: Final answer
    x = 426.52

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.