Finding the Third Proportional to 177 and 347.50
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Solution
The third proportional to 177 and 347.50 is: 682.24
Step by Step Solution
- Step 1: Write the proportion equation
177 : 347.50 = 347.50 : x - Step 2: Convert to fraction form
177/347.50 = 347.50/x - Step 3: Cross multiply
177x = 347.50 × 347.50 - Step 4: Simplify right side
177x = 120,756.25 - Step 5: Solve for x
x = 120,756.25/177 - Step 6: Final answer
x = 682.24
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Why These Related Problems?
These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.