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Finding the Third Proportional to 13.66 and 29.82

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Solution

The third proportional to 13.66 and 29.82 is: 65.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.66 : 29.82 = 29.82 : x
  2. Step 2: Convert to fraction form
    13.66/29.82 = 29.82/x
  3. Step 3: Cross multiply
    13.66x = 29.82 × 29.82
  4. Step 4: Simplify right side
    13.66x = 889.31
  5. Step 5: Solve for x
    x = 889.31/13.66
  6. Step 6: Final answer
    x = 65.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.