Finding the Third Proportional to 2,158 and 3,418
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Solution
The third proportional to 2,158 and 3,418 is: 5,413.68
Step by Step Solution
- Step 1: Write the proportion equation
2,158 : 3,418 = 3,418 : x - Step 2: Convert to fraction form
2,158/3,418 = 3,418/x - Step 3: Cross multiply
2,158x = 3,418 × 3,418 - Step 4: Simplify right side
2,158x = 11,682,724 - Step 5: Solve for x
x = 11,682,724/2,158 - Step 6: Final answer
x = 5,413.68
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.