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Finding the Third Proportional to 11.25 and 16.59

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Solution

The third proportional to 11.25 and 16.59 is: 24.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.25 : 16.59 = 16.59 : x
  2. Step 2: Convert to fraction form
    11.25/16.59 = 16.59/x
  3. Step 3: Cross multiply
    11.25x = 16.59 × 16.59
  4. Step 4: Simplify right side
    11.25x = 275.35
  5. Step 5: Solve for x
    x = 275.35/11.25
  6. Step 6: Final answer
    x = 24.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.