Finding the Third Proportional to 872 and 2,094
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Solution
The third proportional to 872 and 2,094 is: 5,028.48
Step by Step Solution
- Step 1: Write the proportion equation
872 : 2,094 = 2,094 : x - Step 2: Convert to fraction form
872/2,094 = 2,094/x - Step 3: Cross multiply
872x = 2,094 × 2,094 - Step 4: Simplify right side
872x = 4,384,836 - Step 5: Solve for x
x = 4,384,836/872 - Step 6: Final answer
x = 5,028.48
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.