The Spanish word 'logrado' (meaning 'achieved') comes from the verb 'lograr' ('to achieve') combined with the past participle suffix '-ado'. The verb 'lograr' itself derives from the Latin word 'lucrari', which meant 'to gain' or 'to profit'. Over time, the meaning evolved from the specific sense of gaining material profit to the more general concept of achieving or attaining any goal.

A simpler and more commonly encountered Spanish word from the same root is the verb 'lograr' itself, which you'll frequently see in phrases like 'lograr un objetivo' (to achieve a goal) or 'lograr éxito' (to achieve success). You might also encounter 'logro' (achievement), which is the noun form of this word family.

The Latin root 'lucrari' is also the source of several English words. The most notable is 'lucrative', meaning 'profitable' or 'money-making', which maintains a meaning closer to the original Latin. You can see how both the Spanish 'lograr' (to achieve) and English 'lucrative' developed from the same basic concept of gaining or profiting, though they evolved in slightly different directions.