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Finding the Third Proportional to 8.23 and 19.62

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Solution

The third proportional to 8.23 and 19.62 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 19.62 = 19.62 : x
  2. Step 2: Convert to fraction form
    8.23/19.62 = 19.62/x
  3. Step 3: Cross multiply
    8.23x = 19.62 × 19.62
  4. Step 4: Simplify right side
    8.23x = 384.83
  5. Step 5: Solve for x
    x = 384.83/8.23
  6. Step 6: Final answer
    x = 46.78

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.