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Finding the Third Proportional to 16.56 and 21.48

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Solution

The third proportional to 16.56 and 21.48 is: 27.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.56 : 21.48 = 21.48 : x
  2. Step 2: Convert to fraction form
    16.56/21.48 = 21.48/x
  3. Step 3: Cross multiply
    16.56x = 21.48 × 21.48
  4. Step 4: Simplify right side
    16.56x = 461.41
  5. Step 5: Solve for x
    x = 461.41/16.56
  6. Step 6: Final answer
    x = 27.87

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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.