The Spanish word 'extraviado' (meaning 'lost' or 'misplaced') comes from the verb 'extraviar' ('to lose' or 'to mislay'). This verb was formed by combining the Latin prefix 'extra-' (meaning 'outside of') with the Latin noun 'via' (meaning 'way' or 'road') and the Spanish verb suffix '-ar'.

The Latin prefix 'extra-' itself was created by combining two Latin elements: 'ex-' (meaning 'out') and '-tra' (a contrastive suffix). So etymologically, when something is 'extraviado', it has literally gone 'outside of the way' or 'off the road'.

Some related Spanish words that might be familiar to Spanish learners include 'vía' (meaning 'way' or 'road', directly from Latin 'via') and 'extra' (meaning 'extra' or 'additional', from Latin 'extra'). The connection becomes clear when you realize that something that is 'extraviado' has gone outside or beyond its proper way or path.

English speakers might recognize the connection to several familiar words: 'extra' (as in 'additional'), which comes from the same Latin prefix 'extra-', and 'via' (meaning 'by way of'), which comes from the Latin word for 'road'. We also use 'extra-' as a prefix in many English words like 'extraordinary' or 'extracurricular', always carrying the sense of 'outside' or 'beyond'.