Finding the Third Proportional to 680 and 1,268
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Solution
The third proportional to 680 and 1,268 is: 2,364.45
Step by Step Solution
- Step 1: Write the proportion equation
680 : 1,268 = 1,268 : x - Step 2: Convert to fraction form
680/1,268 = 1,268/x - Step 3: Cross multiply
680x = 1,268 × 1,268 - Step 4: Simplify right side
680x = 1,607,824 - Step 5: Solve for x
x = 1,607,824/680 - Step 6: Final answer
x = 2,364.45
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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.