解:$(1)$西蓝花的单价为$\frac {270}{(x-3)^2}$元$/\mathrm {kg},$西红柿的单价为$\frac {270}{x^2 - 9}$元$/\mathrm {kg}.$
$ (2)\frac {270}{(x-3)^2} \div \frac {270}{x^2 - 9} = \frac {270}{(x-3)^2}\ \mathrm {·}\frac {(x+3)(x-3)}{270} = \frac {x+3}{x-3}$
∴西蓝花的单价是西红柿的单价的$\frac {x+3}{x-3}$倍