Well this is going to be tricky because Google will always want to rank sites that are most relevant to what it thinks users are searching for. I'd have to bet that 99.9% of searches done for "convert media" are looking to... convert some sort of media.

That means you're going to have to try and trick Google which is always dangerous. However you can probably do this while staying within Guidelines.

For example, I'm looking at your backlink profile and specifically at your anchor text hierarchy. Typically a domain's anchor text should be varied between the domain itself, the brand itself, images and variations of the former. Your anchor text profile does not have any links built with "Convert Media" as the anchor text. This is definitely a big part of why it isn't ranking for said keyword.

I see the words "ben stein" as the number two most linked to anchor text... What the what?! Ben Stein? As in, win Ben Stein's Money?? Also I see "contextin" as having the most links so I'm assuming you recently changed your domain and brand.

Anyway, I think the best thing you can do is change those (you should also get rid of any spam links you may have..) to your actual brand and domain and continue building more organic links.

Good luck!

Oh yes absolutely I hadn't caught that. That will certainly help you rank better but you should be sure that this is the branding you want. Branding may be the single most important aspect of your company, so lock it down and roll with it.

Good luck!