The property of water that allows it to transport nutrients in living organisms is its high solubility. Water's polar nature enables it to dissolve a wide range of substances, including minerals, gases, and nutrients. This facilitates the movement of these essential compounds through biological systems, such as being transported in the bloodstream in animals or through the vascular system in plants. The ability of water to form hydrogen bonds also contributes to its capacity to maintain a stable temperature, further supporting transportation processes.