Finding the Third Proportional to 2,280 and 4,805
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Solution
The third proportional to 2,280 and 4,805 is: 10,126.33
Step by Step Solution
- Step 1: Write the proportion equation
2,280 : 4,805 = 4,805 : x - Step 2: Convert to fraction form
2,280/4,805 = 4,805/x - Step 3: Cross multiply
2,280x = 4,805 × 4,805 - Step 4: Simplify right side
2,280x = 23,088,025 - Step 5: Solve for x
x = 23,088,025/2,280 - Step 6: Final answer
x = 10,126.33
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.