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Finding the Third Proportional to 11.28 and 16.53

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Solution

The third proportional to 11.28 and 16.53 is: 24.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.28 : 16.53 = 16.53 : x
  2. Step 2: Convert to fraction form
    11.28/16.53 = 16.53/x
  3. Step 3: Cross multiply
    11.28x = 16.53 × 16.53
  4. Step 4: Simplify right side
    11.28x = 273.18
  5. Step 5: Solve for x
    x = 273.18/11.28
  6. Step 6: Final answer
    x = 24.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.