Finding the Third Proportional to 876 and 1,734
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Solution
The third proportional to 876 and 1,734 is: 3,432.37
Step by Step Solution
- Step 1: Write the proportion equation
876 : 1,734 = 1,734 : x - Step 2: Convert to fraction form
876/1,734 = 1,734/x - Step 3: Cross multiply
876x = 1,734 × 1,734 - Step 4: Simplify right side
876x = 3,006,756 - Step 5: Solve for x
x = 3,006,756/876 - Step 6: Final answer
x = 3,432.37
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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.