The thumb (I heard people call it a scrubber) should be the size of the viewport (in your example 200px) divided by the size of the content (600 pixels).
, 1/3 . - .
, 25px, .
var arrowHeight = 25;
var viewportHeight = 200;
var contentHeight = 600;
var viewableRatio = viewportHeight / contentHeight;
var scrollBarArea = viewportHeight - arrowHeight * 2;
var thumbHeight = scrollBarArea * viewableRatio;
, , , , 0 ..