Finding the Third Proportional to 178 and 315
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Solution
The third proportional to 178 and 315 is: 557.44
Step by Step Solution
- Step 1: Write the proportion equation
178 : 315 = 315 : x - Step 2: Convert to fraction form
178/315 = 315/x - Step 3: Cross multiply
178x = 315 × 315 - Step 4: Simplify right side
178x = 99,225 - Step 5: Solve for x
x = 99,225/178 - Step 6: Final answer
x = 557.44
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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.