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Finding the Third Proportional to 16.13 and 21.84

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Solution

The third proportional to 16.13 and 21.84 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.13 : 21.84 = 21.84 : x
  2. Step 2: Convert to fraction form
    16.13/21.84 = 21.84/x
  3. Step 3: Cross multiply
    16.13x = 21.84 × 21.84
  4. Step 4: Simplify right side
    16.13x = 477.15
  5. Step 5: Solve for x
    x = 477.15/16.13
  6. Step 6: Final answer
    x = 29.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.