The solution 'Database migration using a managed relational database service' is the correct answer as it involves shifting from a local infrastructure setup to a managed service, which typically automates scaling and administrative tasks such as hardware provisioning, setup, patching, and backups. This is the primary function of Amazon RDS, though the service name was omitted to avoid repetition. In contrast, 'Instance-based database hosting with manual management' involves manual interventions for management and scaling, and does not offer the same level of automation. 'Data warehouse transition for analytics' and 'Object storage adaptation for binary data' relate to specific scenarios and do not inherently address the primary goals of easing management overhead and enabling scalability.