Finding the Third Proportional to 677 and 1,354
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Solution
The third proportional to 677 and 1,354 is: 2,708
Step by Step Solution
- Step 1: Write the proportion equation
677 : 1,354 = 1,354 : x - Step 2: Convert to fraction form
677/1,354 = 1,354/x - Step 3: Cross multiply
677x = 1,354 × 1,354 - Step 4: Simplify right side
677x = 1,833,316 - Step 5: Solve for x
x = 1,833,316/677 - Step 6: Final answer
x = 2,708
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.