Finding the Third Proportional to 2,646 and 3,717
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Solution
The third proportional to 2,646 and 3,717 is: 5,221.50
Step by Step Solution
- Step 1: Write the proportion equation
2,646 : 3,717 = 3,717 : x - Step 2: Convert to fraction form
2,646/3,717 = 3,717/x - Step 3: Cross multiply
2,646x = 3,717 × 3,717 - Step 4: Simplify right side
2,646x = 13,816,089 - Step 5: Solve for x
x = 13,816,089/2,646 - Step 6: Final answer
x = 5,221.50
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.