Finding the Third Proportional to 2,774 and 3,963
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Solution
The third proportional to 2,774 and 3,963 is: 5,661.63
Step by Step Solution
- Step 1: Write the proportion equation
2,774 : 3,963 = 3,963 : x - Step 2: Convert to fraction form
2,774/3,963 = 3,963/x - Step 3: Cross multiply
2,774x = 3,963 × 3,963 - Step 4: Simplify right side
2,774x = 15,705,369 - Step 5: Solve for x
x = 15,705,369/2,774 - Step 6: Final answer
x = 5,661.63
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.