Finding the Third Proportional to 384,212 and 843,156
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Solution
The third proportional to 384,212 and 843,156 is: 1,850,311.91
Step by Step Solution
- Step 1: Write the proportion equation
384,212 : 843,156 = 843,156 : x - Step 2: Convert to fraction form
384,212/843,156 = 843,156/x - Step 3: Cross multiply
384,212x = 843,156 × 843,156 - Step 4: Simplify right side
384,212x = 710,912,040,336 - Step 5: Solve for x
x = 710,912,040,336/384,212 - Step 6: Final answer
x = 1,850,311.91
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.