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Finding the Third Proportional to 8.53 and 13.17

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Solution

The third proportional to 8.53 and 13.17 is: 20.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.53 : 13.17 = 13.17 : x
  2. Step 2: Convert to fraction form
    8.53/13.17 = 13.17/x
  3. Step 3: Cross multiply
    8.53x = 13.17 × 13.17
  4. Step 4: Simplify right side
    8.53x = 173.50
  5. Step 5: Solve for x
    x = 173.50/8.53
  6. Step 6: Final answer
    x = 20.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.