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Finding the Third Proportional to 20 and 29.69

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Solution

The third proportional to 20 and 29.69 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 29.69 = 29.69 : x
  2. Step 2: Convert to fraction form
    20/29.69 = 29.69/x
  3. Step 3: Cross multiply
    20x = 29.69 × 29.69
  4. Step 4: Simplify right side
    20x = 881.35
  5. Step 5: Solve for x
    x = 881.35/20
  6. Step 6: Final answer
    x = 44.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.