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Describes a relationship in which two quantities always change to the same degree. If one quantity is doubled, the other doubles as well.
Die Kosten für den Druck sind proportional zur Anzahl der bestellten Exemplare.
The printing costs are proportional to the number of copies ordered.
proportionate
Means that something is in an appropriate or fitting relationship to something else; proportionate.
Die Strafe war nicht proportional zur Schwere des Vergehens.
The punishment was not proportionate to the seriousness of the offense.
The adjective 'proportional' is very often used with the preposition 'zu' (to) and the dative to express the relationship between two things.
Die Belohnung sollte proportional zum geleisteten Aufwand sein.
The reward should be proportional to the effort made.
'Proportional' (proportional) is a rather formal and technical word. It is often found in scientific, economic, or legal texts.
Laut Gutachten war die Reaktion des Unternehmens nicht proportional zum entstandenen Schaden.
According to the expert report, the company's reaction was not proportionate to the damage caused.
In its mathematical meaning, 'proportional' can also be used as an adverb to modify verbs like 'ansteigen' (to rise), 'wachsen' (to grow), or 'abnehmen' (to decrease).
Mit steigender Mitarbeiterzahl wachsen die Verwaltungskosten proportional.
As the number of employees increases, administrative costs grow proportionally.
appropriate
A response or quantity can be angemessen (appropriate) or proportional. Angemessen generally assesses whether it fits the situation and is of the right magnitude; proportional additionally emphasizes a specific relationship to a reference value. Use angemessen for a general fit and proportional when this relationship is important.
Die Reaktion der Lehrerin war proportional zur Schwere des Fehlers.
The teacher's response was proportionate to the severity of the mistake.
Die ruhige Reaktion der Lehrerin war für den kleinen Fehler angemessen.
The teacher's calm response was appropriate for the minor mistake.
