Finding the Third Proportional to 648 and 1,692
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Solution
The third proportional to 648 and 1,692 is: 4,418
Step by Step Solution
- Step 1: Write the proportion equation
648 : 1,692 = 1,692 : x - Step 2: Convert to fraction form
648/1,692 = 1,692/x - Step 3: Cross multiply
648x = 1,692 × 1,692 - Step 4: Simplify right side
648x = 2,862,864 - Step 5: Solve for x
x = 2,862,864/648 - Step 6: Final answer
x = 4,418
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These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.