Finding the Third Proportional to 2,543 and 3,471
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Solution
The third proportional to 2,543 and 3,471 is: 4,737.65
Step by Step Solution
- Step 1: Write the proportion equation
2,543 : 3,471 = 3,471 : x - Step 2: Convert to fraction form
2,543/3,471 = 3,471/x - Step 3: Cross multiply
2,543x = 3,471 × 3,471 - Step 4: Simplify right side
2,543x = 12,047,841 - Step 5: Solve for x
x = 12,047,841/2,543 - Step 6: Final answer
x = 4,737.65
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.