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Finding the Third Proportional to 3.48 and 8.21

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Solution

The third proportional to 3.48 and 8.21 is: 19.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.48 : 8.21 = 8.21 : x
  2. Step 2: Convert to fraction form
    3.48/8.21 = 8.21/x
  3. Step 3: Cross multiply
    3.48x = 8.21 × 8.21
  4. Step 4: Simplify right side
    3.48x = 67.36
  5. Step 5: Solve for x
    x = 67.36/3.48
  6. Step 6: Final answer
    x = 19.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.