Finding the Third Proportional to 642 and 993.50
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Solution
The third proportional to 642 and 993.50 is: 1,537.45
Step by Step Solution
- Step 1: Write the proportion equation
642 : 993.50 = 993.50 : x - Step 2: Convert to fraction form
642/993.50 = 993.50/x - Step 3: Cross multiply
642x = 993.50 × 993.50 - Step 4: Simplify right side
642x = 987,042.25 - Step 5: Solve for x
x = 987,042.25/642 - Step 6: Final answer
x = 1,537.45
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.