Finding the Third Proportional to 809 and 1,600
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Solution
The third proportional to 809 and 1,600 is: 3,164.40
Step by Step Solution
- Step 1: Write the proportion equation
809 : 1,600 = 1,600 : x - Step 2: Convert to fraction form
809/1,600 = 1,600/x - Step 3: Cross multiply
809x = 1,600 × 1,600 - Step 4: Simplify right side
809x = 2,560,000 - Step 5: Solve for x
x = 2,560,000/809 - Step 6: Final answer
x = 3,164.40
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.