In nature, the golden ratio is often used for the arrangement of leaves or flowers.

This ratio can be used to assess changing world market share of a country over time.

The ratio is used by both fundamental and technical traders to identify trends.

In this case they are combined at equal volume, but any ratio could be used.

In ancient Greece, the golden ratio may have been used to lay out some buildings.

Here you can see why a 1:12 ratio is used in the scale - it significantly reduces the size of the spring.

More typical water-cement ratios of 0.4 to 0.6 are used.

These ratios can be used to manipulate the rates of profit.

High ratios are bad (in general, more than 100) and can be used to identify underlying problems.

This ratio can be used to make comparisons between products, between market segments, and over time.