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Finding the Third Proportional to 8.55 and 22.21

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Solution

The third proportional to 8.55 and 22.21 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.55 : 22.21 = 22.21 : x
  2. Step 2: Convert to fraction form
    8.55/22.21 = 22.21/x
  3. Step 3: Cross multiply
    8.55x = 22.21 × 22.21
  4. Step 4: Simplify right side
    8.55x = 493.23
  5. Step 5: Solve for x
    x = 493.23/8.55
  6. Step 6: Final answer
    x = 57.69

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.