Finding the Third Proportional to 402.25 and 543.50
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Solution
The third proportional to 402.25 and 543.50 is: 734.35
Step by Step Solution
- Step 1: Write the proportion equation
402.25 : 543.50 = 543.50 : x - Step 2: Convert to fraction form
402.25/543.50 = 543.50/x - Step 3: Cross multiply
402.25x = 543.50 × 543.50 - Step 4: Simplify right side
402.25x = 295,392.25 - Step 5: Solve for x
x = 295,392.25/402.25 - Step 6: Final answer
x = 734.35
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.