Finding the Third Proportional to 3,276 and 7,644
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Solution
The third proportional to 3,276 and 7,644 is: 17,836
Step by Step Solution
- Step 1: Write the proportion equation
3,276 : 7,644 = 7,644 : x - Step 2: Convert to fraction form
3,276/7,644 = 7,644/x - Step 3: Cross multiply
3,276x = 7,644 × 7,644 - Step 4: Simplify right side
3,276x = 58,430,736 - Step 5: Solve for x
x = 58,430,736/3,276 - Step 6: Final answer
x = 17,836
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.