Finding the Third Proportional to 688 and 1,662
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Solution
The third proportional to 688 and 1,662 is: 4,014.89
Step by Step Solution
- Step 1: Write the proportion equation
688 : 1,662 = 1,662 : x - Step 2: Convert to fraction form
688/1,662 = 1,662/x - Step 3: Cross multiply
688x = 1,662 × 1,662 - Step 4: Simplify right side
688x = 2,762,244 - Step 5: Solve for x
x = 2,762,244/688 - Step 6: Final answer
x = 4,014.89
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.