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Finding the Third Proportional to 16.29 and 27.21

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Solution

The third proportional to 16.29 and 27.21 is: 45.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.29 : 27.21 = 27.21 : x
  2. Step 2: Convert to fraction form
    16.29/27.21 = 27.21/x
  3. Step 3: Cross multiply
    16.29x = 27.21 × 27.21
  4. Step 4: Simplify right side
    16.29x = 740.44
  5. Step 5: Solve for x
    x = 740.44/16.29
  6. Step 6: Final answer
    x = 45.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.