reason / ratio
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reason
Reason, intellect, or the ability to think logically, often as the opposite of feeling, emotion, or intuition.
Bei dieser wichtigen Geschäftsentscheidung muss die Ratio über die Emotionen siegen.
In this important business decision, reason must triumph over emotions.
ratio
In technical language, especially in business, a ratio or key figure that relates two or more quantities to each other.
Die Price-Earnings-Ratio ist eine wichtige Kennzahl zur Bewertung von Aktien.
The price-earnings ratio is an important key figure for evaluating stocks.
'Ratio' is a word from Latin and belongs to elevated or educated language. In normal everyday speech, it is used less often and can sound formal or intellectual.
In seiner Argumentation berief er sich rein auf die Ratio.
In his argument, he appealed purely to reason.
You can tell from the context whether reason or a key figure is meant. In texts about psychology or philosophy, 'Ratio' means reason, while in business and finance texts it refers to a ratio or key figure.
Manchmal muss man die Ratio ausschalten und auf sein Herz hören.
Sometimes you have to switch off reason and listen to your heart.
In the sense of 'Vernunft' (reason), 'Ratio' is often used with verbs that express control or dominance. Typical phrases are 'die Ratio walten lassen' (to let reason prevail) or 'sich von der Ratio leiten lassen' (to let oneself be guided by reason).
Bei dieser schwierigen Entscheidung solltest du die Ratio walten lassen.
In this difficult decision, you should let reason prevail.
In the meaning of 'Kennzahl' (key figure/ratio), 'Ratio' is a technical term from business and finance. It is often used in English terms or terms modeled on English.
Die Eigenkapital-Ratio des Unternehmens hat sich verbessert.
The company's equity ratio has improved.
relationship / ratio
Both words can express the numerical relationship between several quantities. Verhältnis is the general term for this quantitative relationship, whereas Ratio usually refers to a technical key figure, especially in business. Use Verhältnis in general statements and Ratio when referring to such a key figure.
Die Ratio von Gewinn zu Umsatz wird in diesem Jahr besser.
The ratio of profit to revenue will improve this year.
Das Verhältnis von Gewinn zu Umsatz wird in diesem Jahr besser.
The ratio of profit to revenue will improve this year.
