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2. Proportional reasoning - Wikipedia

   en.wikipedia.org/wiki/Proportional_reasoning

   So the answer is 3 because ⁠ 1 / 2 ⁠ × 3 × 8 = 12." A correct multiplicative answer is relatively rare. By far the most common answer is something like: "2 units because the water level on the right side increased by two units so the water level on the left side must decrease by two units and 4 – 2 = 2."

3. Proportion (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Proportion_(mathematics)

   A proportion is a mathematical statement expressing equality of two ratios. [1] [2]: =: a and d are called extremes, b and c are called means. Proportion can be written as =, where ratios are expressed as fractions.

4. Ratio - Wikipedia

   en.wikipedia.org/wiki/Ratio

   The ratio of width to height of standard-definition television. In mathematics, a ratio (/ ˈ r eɪ ʃ (i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

5. Intercept theorem - Wikipedia

   en.wikipedia.org/wiki/Intercept_theorem

   The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels.

6. Mathnasium - Wikipedia

   en.wikipedia.org/wiki/Mathnasium

   A Mathnasium location in Franconia, Virginia. Mathnasium (also Mathnasium Learning Center) is an American education brand and supplemental math learning franchise consisting of over 1,000 learning centers in North America, South America, Europe, the Middle East, and Asia that provides instruction to students in pre-kindergarten through high school. [1]

7. Commensurability (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Commensurability_(mathematics)

   In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio ⁠ a / b ⁠ is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent to the ratio of two integers.) There is a more general notion of commensurability in group theory.