Finding the Third Proportional to 178 and 347.50
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Solution
The third proportional to 178 and 347.50 is: 678.41
Step by Step Solution
- Step 1: Write the proportion equation
178 : 347.50 = 347.50 : x - Step 2: Convert to fraction form
178/347.50 = 347.50/x - Step 3: Cross multiply
178x = 347.50 × 347.50 - Step 4: Simplify right side
178x = 120,756.25 - Step 5: Solve for x
x = 120,756.25/178 - Step 6: Final answer
x = 678.41
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.