The physician has prescribed a medication of 3.5 mg/kg of body weight. If you give 297 mg of medication what is body weight of patient in kg? Is there a converstion formula?

I don't know that there is but you can make one.

3.5 mg/kg x # kg = 297 mg.
Solve for # kg.

Tell me what you think: I wrote

#kg = 297mg / 3.5 mg/kg the mg's would eliminate each other and you are left with 297 / 3.5 kg = 85 kg.

Your answer is correct; however, you haven't made a new formula. You've just solved the equation I gave you.

that is very true. What I was asking involves something like this as an example:

30mg/kg*1000g / 1kg* 1g /1000mg
30-/kg* 1000-/1-* 1g/1000-
30 * 1000/1000 * 1g = 30g

You might be thinking of something like this in dimensional analysis. The factor is 3.5 mg/kg (or 1 kg/3.5 mg).

297 x (1 kg/3.5 mg) = 297/3.5 = 85 kg.

Thanks, That's it!

To find the body weight of the patient in kg, we can use the given medication dosage of 3.5 mg/kg and the amount of medication administered, which is 297 mg.

To determine the body weight, we can set up a proportion using the dosage per kg and the given dose. The formula is:

Dosage per kg = Dose given / Body weight

Let's solve the proportion to find the body weight:

3.5 mg/kg = 297 mg / Body weight

To isolate the body weight, we can cross-multiply:

3.5 mg/kg * Body weight = 297 mg

Now, divide both sides of the equation by 3.5 mg/kg to solve for body weight:

Body weight = 297 mg / 3.5 mg/kg

Simplifying the equation, we see that the mg units cancel out, leaving us with:

Body weight = 297 / 3.5 kg

Evaluating this division, we find:

Body weight = 84.857 kg

Therefore, the body weight of the patient is approximately 84.857 kg.

Note: There isn't a single conversion formula for all medications. The dosage may vary based on the drug being prescribed. However, the general concept of setting up a proportion using the medication dosage per kg and the given dose remains the same.