Finding the Third Proportional to 1,245 and 2,706
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Solution
The third proportional to 1,245 and 2,706 is: 5,881.47
Step by Step Solution
- Step 1: Write the proportion equation
1,245 : 2,706 = 2,706 : x - Step 2: Convert to fraction form
1,245/2,706 = 2,706/x - Step 3: Cross multiply
1,245x = 2,706 × 2,706 - Step 4: Simplify right side
1,245x = 7,322,436 - Step 5: Solve for x
x = 7,322,436/1,245 - Step 6: Final answer
x = 5,881.47
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.