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Finding the Third Proportional to 45 and 86.75

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Solution

The third proportional to 45 and 86.75 is: 167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 86.75 = 86.75 : x
  2. Step 2: Convert to fraction form
    45/86.75 = 86.75/x
  3. Step 3: Cross multiply
    45x = 86.75 × 86.75
  4. Step 4: Simplify right side
    45x = 7,525.56
  5. Step 5: Solve for x
    x = 7,525.56/45
  6. Step 6: Final answer
    x = 167.23

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.