Finding the Third Proportional to 2,700 and 4,950
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Solution
The third proportional to 2,700 and 4,950 is: 9,075
Step by Step Solution
- Step 1: Write the proportion equation
2,700 : 4,950 = 4,950 : x - Step 2: Convert to fraction form
2,700/4,950 = 4,950/x - Step 3: Cross multiply
2,700x = 4,950 × 4,950 - Step 4: Simplify right side
2,700x = 24,502,500 - Step 5: Solve for x
x = 24,502,500/2,700 - Step 6: Final answer
x = 9,075
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.