Finding the Third Proportional to 872 and 1,779
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Solution
The third proportional to 872 and 1,779 is: 3,629.40
Step by Step Solution
- Step 1: Write the proportion equation
872 : 1,779 = 1,779 : x - Step 2: Convert to fraction form
872/1,779 = 1,779/x - Step 3: Cross multiply
872x = 1,779 × 1,779 - Step 4: Simplify right side
872x = 3,164,841 - Step 5: Solve for x
x = 3,164,841/872 - Step 6: Final answer
x = 3,629.40
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.