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Finding the Third Proportional to 8.24 and 21.14

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Solution

The third proportional to 8.24 and 21.14 is: 54.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.24 : 21.14 = 21.14 : x
  2. Step 2: Convert to fraction form
    8.24/21.14 = 21.14/x
  3. Step 3: Cross multiply
    8.24x = 21.14 × 21.14
  4. Step 4: Simplify right side
    8.24x = 446.80
  5. Step 5: Solve for x
    x = 446.80/8.24
  6. Step 6: Final answer
    x = 54.20

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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.