Finding the Third Proportional to 5,802 and 6,720
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Solution
The third proportional to 5,802 and 6,720 is: 7,783.25
Step by Step Solution
- Step 1: Write the proportion equation
5,802 : 6,720 = 6,720 : x - Step 2: Convert to fraction form
5,802/6,720 = 6,720/x - Step 3: Cross multiply
5,802x = 6,720 × 6,720 - Step 4: Simplify right side
5,802x = 45,158,400 - Step 5: Solve for x
x = 45,158,400/5,802 - Step 6: Final answer
x = 7,783.25
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.