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Finding the Third Proportional to 18.09 and 30.42

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Solution

The third proportional to 18.09 and 30.42 is: 51.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.09 : 30.42 = 30.42 : x
  2. Step 2: Convert to fraction form
    18.09/30.42 = 30.42/x
  3. Step 3: Cross multiply
    18.09x = 30.42 × 30.42
  4. Step 4: Simplify right side
    18.09x = 925.49
  5. Step 5: Solve for x
    x = 925.49/18.09
  6. Step 6: Final answer
    x = 51.15

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.