Finding the Third Proportional to 6,724 and 8,646
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Solution
The third proportional to 6,724 and 8,646 is: 11,117.39
Step by Step Solution
- Step 1: Write the proportion equation
6,724 : 8,646 = 8,646 : x - Step 2: Convert to fraction form
6,724/8,646 = 8,646/x - Step 3: Cross multiply
6,724x = 8,646 × 8,646 - Step 4: Simplify right side
6,724x = 74,753,316 - Step 5: Solve for x
x = 74,753,316/6,724 - Step 6: Final answer
x = 11,117.39
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.