Finding the Third Proportional to 401 and 642.50
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Solution
The third proportional to 401 and 642.50 is: 1,029.44
Step by Step Solution
- Step 1: Write the proportion equation
401 : 642.50 = 642.50 : x - Step 2: Convert to fraction form
401/642.50 = 642.50/x - Step 3: Cross multiply
401x = 642.50 × 642.50 - Step 4: Simplify right side
401x = 412,806.25 - Step 5: Solve for x
x = 412,806.25/401 - Step 6: Final answer
x = 1,029.44
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.