Finding the Third Proportional to 7,182 and 8,721
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Solution
The third proportional to 7,182 and 8,721 is: 10,589.79
Step by Step Solution
- Step 1: Write the proportion equation
7,182 : 8,721 = 8,721 : x - Step 2: Convert to fraction form
7,182/8,721 = 8,721/x - Step 3: Cross multiply
7,182x = 8,721 × 8,721 - Step 4: Simplify right side
7,182x = 76,055,841 - Step 5: Solve for x
x = 76,055,841/7,182 - Step 6: Final answer
x = 10,589.79
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.