proportional to the size of vs proportional to size of

Both phrases are correct, but they are used in slightly different contexts. "Proportional to the size of" is more commonly used when referring to a specific object or entity, while "proportional to size of" is more general and can be used in a broader sense.

Last updated: March 17, 2024 • 784 views

proportional to the size of

This phrase is correct and commonly used in English.

This phrase is used when referring to a specific object or entity whose size is being compared to something else. It indicates a direct relationship between the size of the object and another variable.

Examples:

The cost of the project is proportional to the size of the team.
The amount of paint needed is proportional to the size of the wall.

Show examples from the web [+]

unit being selected is proportional to the size of the ultimate unit, giving larger clusters a greater probability of selection and smaller clusters a lower probability.
QALYs: is the value of treatment proportional to the size of the health gain? Nord E(1), Enge AU, Gundersen V. Author information: (1)Norwegian Institute of ...
J Biol Chem. 2000 Jun 30;275(26):19719-22. Telomere shortening is proportional to the size of the G-rich telomeric 3'-overhang. Huffman KE(1), Levene SD, ...
The resolution of a given instrument is proportional to the size of its objective, and inversely proportional to the wavelength of the light being observed.

Alternatives:

directly proportional to the size of
in direct proportion to the size of
correlated with the size of

proportional to size of

This phrase is correct but less commonly used in English.

This phrase is more general and can be used in a broader sense when discussing relationships that involve size without specifying a particular object or entity.

Examples:

The level of difficulty is proportional to size of the task.
The time required is proportional to size of the project.

Show examples from the web [+]

A random sample 23 units out of 69 units were selected with probability proportional to size of the unit (compartment) from a forest area in U.P. The total area of ...
sampling with probability proportional to size of this variable can dramatically reduce the variability of the estimated total. The idea is to select each unit on the ...
with probability proportional to size, of 0.00027. Its fellow member of the pair at the end of the ordered list had a relative bias of about the same magnitude but of ...
sampling with probability proportional to size of this variable can dramatically reduce the variability of the estimated total. The idea is to select each unit on the ...

Alternatives:

proportional to the size of
proportional to the magnitude of
proportional to the scale of

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proportional to the size of vs proportional to size of