It is known that the input-output model is based on the balance of inter-industry linkages, however, these conditions do not ensure equilibrium transactions among its agents, both producers and consumers. To address this issue, this work focuses on creating, justifying, and computational models for determine equilibrium transactions within the platform industry and ecosystems of Kazakhstan's financial and insurance activities industry. The research employs a conceptual design for computational models, integrating input (produce/selling, payments, imports) and output (purchase/buying, final demand, exports) transactions to analyze equilibrium growth in platform industries and ecosystems using OECD data from Kazakhstan's statistics (1995–2018). The main results of this study include computational models for determine equilibrium within the platform industry and its ecosystems of Kazakhstan's financial and insurance activities. Their application involves identifying time phases of undervalued and overvalued transactions, classifying time phases by their alignment with equilibrium transactions within the domain of feasible solutions, and analyzing the dynamics of equilibrium growth, enabling more efficient resource allocation and promoting sustainable growth for the industry and its ecosystem.