Finding the Third Proportional to 280,152 and 419,238
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Solution
The third proportional to 280,152 and 419,238 is: 627,375.50
Step by Step Solution
- Step 1: Write the proportion equation
280,152 : 419,238 = 419,238 : x - Step 2: Convert to fraction form
280,152/419,238 = 419,238/x - Step 3: Cross multiply
280,152x = 419,238 × 419,238 - Step 4: Simplify right side
280,152x = 175,760,500,644 - Step 5: Solve for x
x = 175,760,500,644/280,152 - Step 6: Final answer
x = 627,375.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.