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Finding the Third Proportional to 18.62 and 40.85

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Solution

The third proportional to 18.62 and 40.85 is: 89.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.62 : 40.85 = 40.85 : x
  2. Step 2: Convert to fraction form
    18.62/40.85 = 40.85/x
  3. Step 3: Cross multiply
    18.62x = 40.85 × 40.85
  4. Step 4: Simplify right side
    18.62x = 1,668.40
  5. Step 5: Solve for x
    x = 1,668.40/18.62
  6. Step 6: Final answer
    x = 89.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.