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Finding the Third Proportional to 13.88 and 29.66

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Solution

The third proportional to 13.88 and 29.66 is: 63.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.88 : 29.66 = 29.66 : x
  2. Step 2: Convert to fraction form
    13.88/29.66 = 29.66/x
  3. Step 3: Cross multiply
    13.88x = 29.66 × 29.66
  4. Step 4: Simplify right side
    13.88x = 879.90
  5. Step 5: Solve for x
    x = 879.90/13.88
  6. Step 6: Final answer
    x = 63.38

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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.