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Finding the Third Proportional to 13.17 and 28.17

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Solution

The third proportional to 13.17 and 28.17 is: 60.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.17 : 28.17 = 28.17 : x
  2. Step 2: Convert to fraction form
    13.17/28.17 = 28.17/x
  3. Step 3: Cross multiply
    13.17x = 28.17 × 28.17
  4. Step 4: Simplify right side
    13.17x = 793.65
  5. Step 5: Solve for x
    x = 793.65/13.17
  6. Step 6: Final answer
    x = 60.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.