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Finding the Third Proportional to 8 and 13.63

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Solution

The third proportional to 8 and 13.63 is: 23.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 13.63 = 13.63 : x
  2. Step 2: Convert to fraction form
    8/13.63 = 13.63/x
  3. Step 3: Cross multiply
    8x = 13.63 × 13.63
  4. Step 4: Simplify right side
    8x = 185.64
  5. Step 5: Solve for x
    x = 185.64/8
  6. Step 6: Final answer
    x = 23.21

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.