Finding the Third Proportional to 1,282 and 2,531
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Solution
The third proportional to 1,282 and 2,531 is: 4,996.85
Step by Step Solution
- Step 1: Write the proportion equation
1,282 : 2,531 = 2,531 : x - Step 2: Convert to fraction form
1,282/2,531 = 2,531/x - Step 3: Cross multiply
1,282x = 2,531 × 2,531 - Step 4: Simplify right side
1,282x = 6,405,961 - Step 5: Solve for x
x = 6,405,961/1,282 - Step 6: Final answer
x = 4,996.85
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.