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Finding the Third Proportional to 18.02 and 23.83

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Solution

The third proportional to 18.02 and 23.83 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.02 : 23.83 = 23.83 : x
  2. Step 2: Convert to fraction form
    18.02/23.83 = 23.83/x
  3. Step 3: Cross multiply
    18.02x = 23.83 × 23.83
  4. Step 4: Simplify right side
    18.02x = 567.72
  5. Step 5: Solve for x
    x = 567.72/18.02
  6. Step 6: Final answer
    x = 31.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.