Respuesta :
Explanation:
We are asked to find the two rations that form a proportion
To answer the question,
We have to know what proportions means
Two ratios are said to be in proportion when the two ratios are equal.
Let us check for option A
[tex]\begin{gathered} 1:2\text{ means }\frac{1}{2} \\ 4:2\text{ means }\frac{4}{2}=\frac{2}{1} \\ since\text{ }\frac{1}{2}\text{ }\ne\frac{2}{1}\text{ they are not proportional} \end{gathered}[/tex]Check for option B
[tex]\begin{gathered} 1:2\text{ means}\frac{1}{2} \\ 6:3\text{ means }\frac{6}{3}=\frac{2}{1} \\ s\imaginaryI nce\frac{1}{2}\operatorname{\ne}\frac{2}{1}\text{they are not proport}\imaginaryI\text{onal} \end{gathered}[/tex]Check option C
[tex]\begin{gathered} 2:1\text{ means }\frac{2}{1} \\ 2:4\text{ means }\frac{2}{4}=\frac{1}{2} \\ s\imaginaryI nce\frac{1}{2}\operatorname{\ne}\frac{2}{1}\text{they are not proport}\imaginaryI\text{onal} \end{gathered}[/tex]Check for option D
[tex]\begin{gathered} 2:1\text{ means }\frac{2}{1} \\ 6:3\text{ means }\frac{6}{3}=\frac{2}{1} \\ \\ Since\text{ }\frac{2}{1}\text{ = }\frac{2}{1} \\ The\text{ ratios are proportional} \end{gathered}[/tex]Therefore, 2:1 and 6:3 are proportional ratios
Thus, option D is correct
