Finding the Third Proportional to 862 and 2,006.50
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Solution
The third proportional to 862 and 2,006.50 is: 4,670.58
Step by Step Solution
- Step 1: Write the proportion equation
862 : 2,006.50 = 2,006.50 : x - Step 2: Convert to fraction form
862/2,006.50 = 2,006.50/x - Step 3: Cross multiply
862x = 2,006.50 × 2,006.50 - Step 4: Simplify right side
862x = 4,026,042.25 - Step 5: Solve for x
x = 4,026,042.25/862 - Step 6: Final answer
x = 4,670.58
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.