Finding the Third Proportional to 820 and 1,044
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Solution
The third proportional to 820 and 1,044 is: 1,329.19
Step by Step Solution
- Step 1: Write the proportion equation
820 : 1,044 = 1,044 : x - Step 2: Convert to fraction form
820/1,044 = 1,044/x - Step 3: Cross multiply
820x = 1,044 × 1,044 - Step 4: Simplify right side
820x = 1,089,936 - Step 5: Solve for x
x = 1,089,936/820 - Step 6: Final answer
x = 1,329.19
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.