Finding the Third Proportional to 1,296 and 2,520
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Solution
The third proportional to 1,296 and 2,520 is: 4,900
Step by Step Solution
- Step 1: Write the proportion equation
1,296 : 2,520 = 2,520 : x - Step 2: Convert to fraction form
1,296/2,520 = 2,520/x - Step 3: Cross multiply
1,296x = 2,520 × 2,520 - Step 4: Simplify right side
1,296x = 6,350,400 - Step 5: Solve for x
x = 6,350,400/1,296 - Step 6: Final answer
x = 4,900
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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.