Finding the Third Proportional to 670 and 1,361
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Solution
The third proportional to 670 and 1,361 is: 2,764.66
Step by Step Solution
- Step 1: Write the proportion equation
670 : 1,361 = 1,361 : x - Step 2: Convert to fraction form
670/1,361 = 1,361/x - Step 3: Cross multiply
670x = 1,361 × 1,361 - Step 4: Simplify right side
670x = 1,852,321 - Step 5: Solve for x
x = 1,852,321/670 - Step 6: Final answer
x = 2,764.66
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.