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Finding the Third Proportional to 12.84 and 18.89

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Solution

The third proportional to 12.84 and 18.89 is: 27.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.84 : 18.89 = 18.89 : x
  2. Step 2: Convert to fraction form
    12.84/18.89 = 18.89/x
  3. Step 3: Cross multiply
    12.84x = 18.89 × 18.89
  4. Step 4: Simplify right side
    12.84x = 356.86
  5. Step 5: Solve for x
    x = 356.86/12.84
  6. Step 6: Final answer
    x = 27.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.