Finding the Third Proportional to 2,045 and 3,171
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Solution
The third proportional to 2,045 and 3,171 is: 4,916.99
Step by Step Solution
- Step 1: Write the proportion equation
2,045 : 3,171 = 3,171 : x - Step 2: Convert to fraction form
2,045/3,171 = 3,171/x - Step 3: Cross multiply
2,045x = 3,171 × 3,171 - Step 4: Simplify right side
2,045x = 10,055,241 - Step 5: Solve for x
x = 10,055,241/2,045 - Step 6: Final answer
x = 4,916.99
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.