Finding the Third Proportional to 800 and 1,897
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Solution
The third proportional to 800 and 1,897 is: 4,498.26
Step by Step Solution
- Step 1: Write the proportion equation
800 : 1,897 = 1,897 : x - Step 2: Convert to fraction form
800/1,897 = 1,897/x - Step 3: Cross multiply
800x = 1,897 × 1,897 - Step 4: Simplify right side
800x = 3,598,609 - Step 5: Solve for x
x = 3,598,609/800 - Step 6: Final answer
x = 4,498.26
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.