Finding the Third Proportional to 411 and 820
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Solution
The third proportional to 411 and 820 is: 1,636.01
Step by Step Solution
- Step 1: Write the proportion equation
411 : 820 = 820 : x - Step 2: Convert to fraction form
411/820 = 820/x - Step 3: Cross multiply
411x = 820 × 820 - Step 4: Simplify right side
411x = 672,400 - Step 5: Solve for x
x = 672,400/411 - Step 6: Final answer
x = 1,636.01
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Why These Related Problems?
These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.