Finding the Third Proportional to 846 and 1,738
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Solution
The third proportional to 846 and 1,738 is: 3,570.50
Step by Step Solution
- Step 1: Write the proportion equation
846 : 1,738 = 1,738 : x - Step 2: Convert to fraction form
846/1,738 = 1,738/x - Step 3: Cross multiply
846x = 1,738 × 1,738 - Step 4: Simplify right side
846x = 3,020,644 - Step 5: Solve for x
x = 3,020,644/846 - Step 6: Final answer
x = 3,570.50
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.