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Finding the Third Proportional to 8.26 and 21.18

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Solution

The third proportional to 8.26 and 21.18 is: 54.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.26 : 21.18 = 21.18 : x
  2. Step 2: Convert to fraction form
    8.26/21.18 = 21.18/x
  3. Step 3: Cross multiply
    8.26x = 21.18 × 21.18
  4. Step 4: Simplify right side
    8.26x = 448.67
  5. Step 5: Solve for x
    x = 448.67/8.26
  6. Step 6: Final answer
    x = 54.31

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.