The significance of homeostasis in living organisms lies in its role in maintaining stable internal conditions despite external fluctuations. Homeostasis is crucial for the proper functioning of biological systems, involving processes such as temperature regulation, pH balance, and electrolyte levels. By maintaining equilibrium, organisms can optimize metabolic processes and respond to environmental changes effectively. Disruption of homeostasis can lead to health issues and decreased survival, making it indispensable for overall organismal well-being and adaptation.