Finding the Third Proportional to 819 and 2,101.50
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Solution
The third proportional to 819 and 2,101.50 is: 5,392.31
Step by Step Solution
- Step 1: Write the proportion equation
819 : 2,101.50 = 2,101.50 : x - Step 2: Convert to fraction form
819/2,101.50 = 2,101.50/x - Step 3: Cross multiply
819x = 2,101.50 × 2,101.50 - Step 4: Simplify right side
819x = 4,416,302.25 - Step 5: Solve for x
x = 4,416,302.25/819 - Step 6: Final answer
x = 5,392.31
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Why These Related Problems?
These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.