Finding the Third Proportional to 849 and 1,772
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Solution
The third proportional to 849 and 1,772 is: 3,698.45
Step by Step Solution
- Step 1: Write the proportion equation
849 : 1,772 = 1,772 : x - Step 2: Convert to fraction form
849/1,772 = 1,772/x - Step 3: Cross multiply
849x = 1,772 × 1,772 - Step 4: Simplify right side
849x = 3,139,984 - Step 5: Solve for x
x = 3,139,984/849 - Step 6: Final answer
x = 3,698.45
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.