A method is described for synchronously rendering digitized media streams. Each digitized media stream is made up of a sequence of media samples having media-specified timing. The described method includes calculating presentation times for media samples of different media streams based in part on the media-specified timing of the media samples and also based in part upon the desired synchronization of the different media streams relative to each other. The calculated presentation times indicate when the media samples should be rendered relative to a common clock reference. The method further includes attaching a media sample's calculated presentation time to the media sample, and then routing the media sample to a sink component for rendering. The sink component renders the respective media samples of the digitized media streams at the approximate presentation times of the samples relative to the common clock reference.