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Finding the Third Proportional to 13.69 and 29.78

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Solution

The third proportional to 13.69 and 29.78 is: 64.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.69 : 29.78 = 29.78 : x
  2. Step 2: Convert to fraction form
    13.69/29.78 = 29.78/x
  3. Step 3: Cross multiply
    13.69x = 29.78 × 29.78
  4. Step 4: Simplify right side
    13.69x = 886.92
  5. Step 5: Solve for x
    x = 886.92/13.69
  6. Step 6: Final answer
    x = 64.80

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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.