Finding the Third Proportional to 749 and 2,021
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Solution
The third proportional to 749 and 2,021 is: 5,453.19
Step by Step Solution
- Step 1: Write the proportion equation
749 : 2,021 = 2,021 : x - Step 2: Convert to fraction form
749/2,021 = 2,021/x - Step 3: Cross multiply
749x = 2,021 × 2,021 - Step 4: Simplify right side
749x = 4,084,441 - Step 5: Solve for x
x = 4,084,441/749 - Step 6: Final answer
x = 5,453.19
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.