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Finding the Third Proportional to 40.55 and 86.95

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Solution

The third proportional to 40.55 and 86.95 is: 186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.55 : 86.95 = 86.95 : x
  2. Step 2: Convert to fraction form
    40.55/86.95 = 86.95/x
  3. Step 3: Cross multiply
    40.55x = 86.95 × 86.95
  4. Step 4: Simplify right side
    40.55x = 7,559.97
  5. Step 5: Solve for x
    x = 7,559.97/40.55
  6. Step 6: Final answer
    x = 186.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.