Finding the Third Proportional to 2,816 and 7,656
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Solution
The third proportional to 2,816 and 7,656 is: 20,814.75
Step by Step Solution
- Step 1: Write the proportion equation
2,816 : 7,656 = 7,656 : x - Step 2: Convert to fraction form
2,816/7,656 = 7,656/x - Step 3: Cross multiply
2,816x = 7,656 × 7,656 - Step 4: Simplify right side
2,816x = 58,614,336 - Step 5: Solve for x
x = 58,614,336/2,816 - Step 6: Final answer
x = 20,814.75
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Why These Related Problems?
These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.