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Finding the Third Proportional to 12.38 and 16.88

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Solution

The third proportional to 12.38 and 16.88 is: 23.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 16.88 = 16.88 : x
  2. Step 2: Convert to fraction form
    12.38/16.88 = 16.88/x
  3. Step 3: Cross multiply
    12.38x = 16.88 × 16.88
  4. Step 4: Simplify right side
    12.38x = 284.77
  5. Step 5: Solve for x
    x = 284.77/12.38
  6. Step 6: Final answer
    x = 23.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.