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Finding the Third Proportional to 21.69 and 29.81

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Solution

The third proportional to 21.69 and 29.81 is: 40.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.69 : 29.81 = 29.81 : x
  2. Step 2: Convert to fraction form
    21.69/29.81 = 29.81/x
  3. Step 3: Cross multiply
    21.69x = 29.81 × 29.81
  4. Step 4: Simplify right side
    21.69x = 888.79
  5. Step 5: Solve for x
    x = 888.79/21.69
  6. Step 6: Final answer
    x = 40.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.