Page Rank assigned to blog by Google according to its page ranking system is called Blog Page Rank. You can know it through Google toolbar.
Google Page Rank is an output of google's algorithm for site ranking. The basic thing is that the site with higher Page Rank will be listed before the site with lower Page Rank, in google's search result. If you didnt got it, here's a detailed article by a blogger:
Page rank checker is a great website that provides an quick, easy and free way to check the rank of all or specific pages that can be found on google.
organic way
There's no difference. The page rank is a algorithm created by google. If you check your PR in site like http://www.pageranke.com, you can learn your therorical PR. But keep in mind that this a theorical PR because the real PR is only known by Google. But you have other kinds of ranking, like "Alexa rank" or "compete rank"...
Google.
No! Absolutely no!
PageRank (PR) is an algorithm used by Google Search to rank websites in their search engine results. PageRank was named after Larry Page, one of the founders of Google. tizag.com/SEOTutorial/seo-pagerank.php
The number of outbound links on the page that contains the inbound link to a page of a web site
With Organic SEO Techniques you can rank higher on the google search engine. Make sure your site have relevant content and user friendly website
For a detailed explanation read the original Page Rank doc by Googles founders (see related links below)
There are two types of page rank. One that we normally see and use is called "Pseudo Page Rank". This is the one that is publicly available form Google in tool bars or through other sites that use the Google approved code to track page rank. This page rank is updated in approximately 3 months. It could be earlier or late as to the liking of Google guys. The actual page rank is how ever only available with Google and changes dynamically. No other body on earth knows the real PR value. This can be any thing like 3.124 or 2.789 not necessarily a whole number like 3 out or 10. When there is a Google PR update this decimal values may be rounded up and exported for public use. Again the rules of rounding is not available with anyone except Google.