Finding the Third Proportional to 311,040 and 682,344
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Solution
The third proportional to 311,040 and 682,344 is: 1,496,892.15
Step by Step Solution
- Step 1: Write the proportion equation
311,040 : 682,344 = 682,344 : x - Step 2: Convert to fraction form
311,040/682,344 = 682,344/x - Step 3: Cross multiply
311,040x = 682,344 × 682,344 - Step 4: Simplify right side
311,040x = 465,593,334,336 - Step 5: Solve for x
x = 465,593,334,336/311,040 - Step 6: Final answer
x = 1,496,892.15
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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.