Finding the Third Proportional to 442.50 and 993
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Solution
The third proportional to 442.50 and 993 is: 2,228.36
Step by Step Solution
- Step 1: Write the proportion equation
442.50 : 993 = 993 : x - Step 2: Convert to fraction form
442.50/993 = 993/x - Step 3: Cross multiply
442.50x = 993 × 993 - Step 4: Simplify right side
442.50x = 986,049 - Step 5: Solve for x
x = 986,049/442.50 - Step 6: Final answer
x = 2,228.36
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Why These Related Problems?
These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.