Finding the Third Proportional to 3,904 and 8,509
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Solution
The third proportional to 3,904 and 8,509 is: 18,545.87
Step by Step Solution
- Step 1: Write the proportion equation
3,904 : 8,509 = 8,509 : x - Step 2: Convert to fraction form
3,904/8,509 = 8,509/x - Step 3: Cross multiply
3,904x = 8,509 × 8,509 - Step 4: Simplify right side
3,904x = 72,403,081 - Step 5: Solve for x
x = 72,403,081/3,904 - Step 6: Final answer
x = 18,545.87
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.