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Finding the Third Proportional to 8.25 and 11.63

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Solution

The third proportional to 8.25 and 11.63 is: 16.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.25 : 11.63 = 11.63 : x
  2. Step 2: Convert to fraction form
    8.25/11.63 = 11.63/x
  3. Step 3: Cross multiply
    8.25x = 11.63 × 11.63
  4. Step 4: Simplify right side
    8.25x = 135.14
  5. Step 5: Solve for x
    x = 135.14/8.25
  6. Step 6: Final answer
    x = 16.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.