Finding the Third Proportional to 77 and 204.50
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Solution
The third proportional to 77 and 204.50 is: 543.12
Step by Step Solution
- Step 1: Write the proportion equation
77 : 204.50 = 204.50 : x - Step 2: Convert to fraction form
77/204.50 = 204.50/x - Step 3: Cross multiply
77x = 204.50 × 204.50 - Step 4: Simplify right side
77x = 41,820.25 - Step 5: Solve for x
x = 41,820.25/77 - Step 6: Final answer
x = 543.12
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Why These Related Problems?
These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.