In administering furosemide IM, if the available concentration is 10 mg/mL and the required dose is 20 mg, which proportionally correct equation should be set up?

To determine the appropriate equation for calculating the volume of furosemide to administer, it is important to set up a proportion that relates the concentration of the available medication to the required dose.

In this case, the available concentration of furosemide is 10 mg/mL. To find out how many milliliters correspond to a required dose of 20 mg, the correct approach involves using the same unit of measurement throughout the proportion.

Starting with the given concentration of the medication, 10 mg is found in 1 mL. Thus, if you need to provide 20 mg, the proportion would compare the known concentration (10 mg in 1 mL) to the unknown volume required to achieve the desired dosage (20 mg). Setting the equation up in this manner—10 mg per 1 mL equals 20 mg per X mL—provides a direct calculation based on the available concentration.

Using this proportional relationship, you can solve for X to find the volume needed to deliver the 20 mg dose. Solving the equation will yield a volume of 2 mL required for the administration of the 20 mg dose of furosemide.

By using this method, you ensure that you're working with equivalent relationships