Finding the Third Proportional to 6,805 and 7,561
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Solution
The third proportional to 6,805 and 7,561 is: 8,400.99
Step by Step Solution
- Step 1: Write the proportion equation
6,805 : 7,561 = 7,561 : x - Step 2: Convert to fraction form
6,805/7,561 = 7,561/x - Step 3: Cross multiply
6,805x = 7,561 × 7,561 - Step 4: Simplify right side
6,805x = 57,168,721 - Step 5: Solve for x
x = 57,168,721/6,805 - Step 6: Final answer
x = 8,400.99
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.