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Finding the Third Proportional to 29.69 and 63.81

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Solution

The third proportional to 29.69 and 63.81 is: 137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 63.81 = 63.81 : x
  2. Step 2: Convert to fraction form
    29.69/63.81 = 63.81/x
  3. Step 3: Cross multiply
    29.69x = 63.81 × 63.81
  4. Step 4: Simplify right side
    29.69x = 4,072.04
  5. Step 5: Solve for x
    x = 4,072.04/29.69
  6. Step 6: Final answer
    x = 137.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.