Finding the Third Proportional to 882 and 1,343
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Solution
The third proportional to 882 and 1,343 is: 2,044.95
Step by Step Solution
- Step 1: Write the proportion equation
882 : 1,343 = 1,343 : x - Step 2: Convert to fraction form
882/1,343 = 1,343/x - Step 3: Cross multiply
882x = 1,343 × 1,343 - Step 4: Simplify right side
882x = 1,803,649 - Step 5: Solve for x
x = 1,803,649/882 - Step 6: Final answer
x = 2,044.95
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.