Finding the Third Proportional to 5,370 and 11,757
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Solution
The third proportional to 5,370 and 11,757 is: 25,740.61
Step by Step Solution
- Step 1: Write the proportion equation
5,370 : 11,757 = 11,757 : x - Step 2: Convert to fraction form
5,370/11,757 = 11,757/x - Step 3: Cross multiply
5,370x = 11,757 × 11,757 - Step 4: Simplify right side
5,370x = 138,227,049 - Step 5: Solve for x
x = 138,227,049/5,370 - Step 6: Final answer
x = 25,740.61
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.