Finding the Third Proportional to 1,728.84 and 3,207.09
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Solution
The third proportional to 1,728.84 and 3,207.09 is: 5,949.32
Step by Step Solution
- Step 1: Write the proportion equation
1,728.84 : 3,207.09 = 3,207.09 : x - Step 2: Convert to fraction form
1,728.84/3,207.09 = 3,207.09/x - Step 3: Cross multiply
1,728.84x = 3,207.09 × 3,207.09 - Step 4: Simplify right side
1,728.84x = 10,285,450.32 - Step 5: Solve for x
x = 10,285,450.32/1,728.84 - Step 6: Final answer
x = 5,949.32
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Why These Related Problems?
These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.