Finding the Third Proportional to 2,258 and 2,782
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Solution
The third proportional to 2,258 and 2,782 is: 3,427.60
Step by Step Solution
- Step 1: Write the proportion equation
2,258 : 2,782 = 2,782 : x - Step 2: Convert to fraction form
2,258/2,782 = 2,782/x - Step 3: Cross multiply
2,258x = 2,782 × 2,782 - Step 4: Simplify right side
2,258x = 7,739,524 - Step 5: Solve for x
x = 7,739,524/2,258 - Step 6: Final answer
x = 3,427.60
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.