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Finding the Third Proportional to 9.49 and 19.90

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Solution

The third proportional to 9.49 and 19.90 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.49 : 19.90 = 19.90 : x
  2. Step 2: Convert to fraction form
    9.49/19.90 = 19.90/x
  3. Step 3: Cross multiply
    9.49x = 19.90 × 19.90
  4. Step 4: Simplify right side
    9.49x = 395.95
  5. Step 5: Solve for x
    x = 395.95/9.49
  6. Step 6: Final answer
    x = 41.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.