Finding the Third Proportional to 862 and 1,399
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Solution
The third proportional to 862 and 1,399 is: 2,270.53
Step by Step Solution
- Step 1: Write the proportion equation
862 : 1,399 = 1,399 : x - Step 2: Convert to fraction form
862/1,399 = 1,399/x - Step 3: Cross multiply
862x = 1,399 × 1,399 - Step 4: Simplify right side
862x = 1,957,201 - Step 5: Solve for x
x = 1,957,201/862 - Step 6: Final answer
x = 2,270.53
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.