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Finding the Third Proportional to 9.06 and 19.81

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Solution

The third proportional to 9.06 and 19.81 is: 43.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.06 : 19.81 = 19.81 : x
  2. Step 2: Convert to fraction form
    9.06/19.81 = 19.81/x
  3. Step 3: Cross multiply
    9.06x = 19.81 × 19.81
  4. Step 4: Simplify right side
    9.06x = 392.54
  5. Step 5: Solve for x
    x = 392.54/9.06
  6. Step 6: Final answer
    x = 43.31

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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.