Nurses use proportions to determine the amount of a drug to administer when the dose is measured in milligrams but the drug is packaged in a diluted form in milliliters.

For example, to find the number of milliliters of fluid needed to administer 300 mg of a drug that comes packaged as 120 mg in 2 mL of fluid, a nurse sets up the proportion

where x represents the amount to administer in milliliters. Use this method to find the correct dose for each prescription.

1.5 mg of morphine packaged as 20-mg ampules diluted in 10 mL of fluid

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120 mg 2 mL 300 mg x mL