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Finding the Third Proportional to 8.20 and 17.93

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Solution

The third proportional to 8.20 and 17.93 is: 39.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.20 : 17.93 = 17.93 : x
  2. Step 2: Convert to fraction form
    8.20/17.93 = 17.93/x
  3. Step 3: Cross multiply
    8.20x = 17.93 × 17.93
  4. Step 4: Simplify right side
    8.20x = 321.62
  5. Step 5: Solve for x
    x = 321.62/8.20
  6. Step 6: Final answer
    x = 39.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.