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Finding the Third Proportional to 45.75 and 86.44

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Solution

The third proportional to 45.75 and 86.44 is: 163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.75 : 86.44 = 86.44 : x
  2. Step 2: Convert to fraction form
    45.75/86.44 = 86.44/x
  3. Step 3: Cross multiply
    45.75x = 86.44 × 86.44
  4. Step 4: Simplify right side
    45.75x = 7,471.44
  5. Step 5: Solve for x
    x = 7,471.44/45.75
  6. Step 6: Final answer
    x = 163.31

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.