Finding the Third Proportional to 354 and 431
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Solution
The third proportional to 354 and 431 is: 524.75
Step by Step Solution
- Step 1: Write the proportion equation
354 : 431 = 431 : x - Step 2: Convert to fraction form
354/431 = 431/x - Step 3: Cross multiply
354x = 431 × 431 - Step 4: Simplify right side
354x = 185,761 - Step 5: Solve for x
x = 185,761/354 - Step 6: Final answer
x = 524.75
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.