Finding the Third Proportional to 305,736.75 and 457,872.75
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Solution
The third proportional to 305,736.75 and 457,872.75 is: 685,712.32
Step by Step Solution
- Step 1: Write the proportion equation
305,736.75 : 457,872.75 = 457,872.75 : x - Step 2: Convert to fraction form
305,736.75/457,872.75 = 457,872.75/x - Step 3: Cross multiply
305,736.75x = 457,872.75 × 457,872.75 - Step 4: Simplify right side
305,736.75x = 209,647,455,192.56 - Step 5: Solve for x
x = 209,647,455,192.56/305,736.75 - Step 6: Final answer
x = 685,712.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.