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Finding the Third Proportional to 9.23 and 19.83

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Solution

The third proportional to 9.23 and 19.83 is: 42.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.23 : 19.83 = 19.83 : x
  2. Step 2: Convert to fraction form
    9.23/19.83 = 19.83/x
  3. Step 3: Cross multiply
    9.23x = 19.83 × 19.83
  4. Step 4: Simplify right side
    9.23x = 393.15
  5. Step 5: Solve for x
    x = 393.15/9.23
  6. Step 6: Final answer
    x = 42.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.