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Finding the Third Proportional to 9 and 19.17

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Solution

The third proportional to 9 and 19.17 is: 40.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 19.17 = 19.17 : x
  2. Step 2: Convert to fraction form
    9/19.17 = 19.17/x
  3. Step 3: Cross multiply
    9x = 19.17 × 19.17
  4. Step 4: Simplify right side
    9x = 367.56
  5. Step 5: Solve for x
    x = 367.56/9
  6. Step 6: Final answer
    x = 40.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.