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Finding the Third Proportional to 40.18 and 85.11

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Solution

The third proportional to 40.18 and 85.11 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.18 : 85.11 = 85.11 : x
  2. Step 2: Convert to fraction form
    40.18/85.11 = 85.11/x
  3. Step 3: Cross multiply
    40.18x = 85.11 × 85.11
  4. Step 4: Simplify right side
    40.18x = 7,244.27
  5. Step 5: Solve for x
    x = 7,244.27/40.18
  6. Step 6: Final answer
    x = 180.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.