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Finding the Third Proportional to 12.68 and 16.49

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Solution

The third proportional to 12.68 and 16.49 is: 21.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.68 : 16.49 = 16.49 : x
  2. Step 2: Convert to fraction form
    12.68/16.49 = 16.49/x
  3. Step 3: Cross multiply
    12.68x = 16.49 × 16.49
  4. Step 4: Simplify right side
    12.68x = 271.84
  5. Step 5: Solve for x
    x = 271.84/12.68
  6. Step 6: Final answer
    x = 21.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.