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Finding the Third Proportional to 12.21 and 17.82

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Solution

The third proportional to 12.21 and 17.82 is: 26.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.21 : 17.82 = 17.82 : x
  2. Step 2: Convert to fraction form
    12.21/17.82 = 17.82/x
  3. Step 3: Cross multiply
    12.21x = 17.82 × 17.82
  4. Step 4: Simplify right side
    12.21x = 317.56
  5. Step 5: Solve for x
    x = 317.56/12.21
  6. Step 6: Final answer
    x = 26.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.