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Finding the Third Proportional to 18.02 and 39.64

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Solution

The third proportional to 18.02 and 39.64 is: 87.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.02 : 39.64 = 39.64 : x
  2. Step 2: Convert to fraction form
    18.02/39.64 = 39.64/x
  3. Step 3: Cross multiply
    18.02x = 39.64 × 39.64
  4. Step 4: Simplify right side
    18.02x = 1,571.70
  5. Step 5: Solve for x
    x = 1,571.70/18.02
  6. Step 6: Final answer
    x = 87.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.