Text-image person re-identification (TIReID) has emerged as a versatile approach for retrieving target pedestrians using textual descriptions. However, current TIReID research has been overly idealistic and has overlooked the issues of data incompleteness and modal imbalance in real-world application scenarios. Therefore, in this paper, we propose imbalanced text-image person re-identification (ITIReID) to address these problems. In comparison to TIReID, ITIReID contains a larger proportion of unimodal data, which leads to modal imbalance. The setting of ITIReID is more aligned with real-world scenarios, and studying ITIReID can expand the application scalability of TIReID. We propose a Graph-based Consistent Reconstruction and Alignment framework (GCRA), for ITIReID, which achieves modal balance by completing missing modality features for training implementation. By treating the accessible modality features as graph nodes, GCRA firstly builds an adjacency graph where a new semantic distance that establishes semantic relevance between nodes by comprehensively measuring both intra-modality and inter-modality correlation, serves as the measurement of graph’s edges. GCRA further reconstructs the missing nodes - thus re-establishing missing modality features - using existing nodes connected with high semantic relevance. To ensure the reliability and effectiveness of reconstructed features, we propose a proxy-based identity constraint and a reconstruction constraint. In addition, to enable effective semantic alignment using both the reconstructed features and original features, we introduce a cross-modal semantic constraint. Extensive experiments demonstrate that GCRA can effectively handle issues of data incompleteness and modal imbalance, exhibiting its effectiveness and superiority.