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Finding the Third Proportional to 23.16 and 30.38

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Solution

The third proportional to 23.16 and 30.38 is: 39.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.16 : 30.38 = 30.38 : x
  2. Step 2: Convert to fraction form
    23.16/30.38 = 30.38/x
  3. Step 3: Cross multiply
    23.16x = 30.38 × 30.38
  4. Step 4: Simplify right side
    23.16x = 922.64
  5. Step 5: Solve for x
    x = 922.64/23.16
  6. Step 6: Final answer
    x = 39.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.