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Finding the Third Proportional to 5.61 and 8.21

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Solution

The third proportional to 5.61 and 8.21 is: 12.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.61 : 8.21 = 8.21 : x
  2. Step 2: Convert to fraction form
    5.61/8.21 = 8.21/x
  3. Step 3: Cross multiply
    5.61x = 8.21 × 8.21
  4. Step 4: Simplify right side
    5.61x = 67.39
  5. Step 5: Solve for x
    x = 67.39/5.61
  6. Step 6: Final answer
    x = 12.02

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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.