Finding the Third Proportional to 3,312 and 7,728
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Solution
The third proportional to 3,312 and 7,728 is: 18,032
Step by Step Solution
- Step 1: Write the proportion equation
3,312 : 7,728 = 7,728 : x - Step 2: Convert to fraction form
3,312/7,728 = 7,728/x - Step 3: Cross multiply
3,312x = 7,728 × 7,728 - Step 4: Simplify right side
3,312x = 59,721,984 - Step 5: Solve for x
x = 59,721,984/3,312 - Step 6: Final answer
x = 18,032
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1.5x scale
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.