Finding the Third Proportional to 2,155 and 3,543
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Solution
The third proportional to 2,155 and 3,543 is: 5,824.99
Step by Step Solution
- Step 1: Write the proportion equation
2,155 : 3,543 = 3,543 : x - Step 2: Convert to fraction form
2,155/3,543 = 3,543/x - Step 3: Cross multiply
2,155x = 3,543 × 3,543 - Step 4: Simplify right side
2,155x = 12,552,849 - Step 5: Solve for x
x = 12,552,849/2,155 - Step 6: Final answer
x = 5,824.99
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.