Finding the Third Proportional to 828 and 2,158
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Solution
The third proportional to 828 and 2,158 is: 5,624.35
Step by Step Solution
- Step 1: Write the proportion equation
828 : 2,158 = 2,158 : x - Step 2: Convert to fraction form
828/2,158 = 2,158/x - Step 3: Cross multiply
828x = 2,158 × 2,158 - Step 4: Simplify right side
828x = 4,656,964 - Step 5: Solve for x
x = 4,656,964/828 - Step 6: Final answer
x = 5,624.35
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.