Finding the Third Proportional to 850 and 1,950
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Solution
The third proportional to 850 and 1,950 is: 4,473.53
Step by Step Solution
- Step 1: Write the proportion equation
850 : 1,950 = 1,950 : x - Step 2: Convert to fraction form
850/1,950 = 1,950/x - Step 3: Cross multiply
850x = 1,950 × 1,950 - Step 4: Simplify right side
850x = 3,802,500 - Step 5: Solve for x
x = 3,802,500/850 - Step 6: Final answer
x = 4,473.53
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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.