Finding the Third Proportional to 8,100 and 10,350
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Solution
The third proportional to 8,100 and 10,350 is: 13,225
Step by Step Solution
- Step 1: Write the proportion equation
8,100 : 10,350 = 10,350 : x - Step 2: Convert to fraction form
8,100/10,350 = 10,350/x - Step 3: Cross multiply
8,100x = 10,350 × 10,350 - Step 4: Simplify right side
8,100x = 107,122,500 - Step 5: Solve for x
x = 107,122,500/8,100 - Step 6: Final answer
x = 13,225
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.