Finding the Third Proportional to 398 and 572
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Solution
The third proportional to 398 and 572 is: 822.07
Step by Step Solution
- Step 1: Write the proportion equation
398 : 572 = 572 : x - Step 2: Convert to fraction form
398/572 = 572/x - Step 3: Cross multiply
398x = 572 × 572 - Step 4: Simplify right side
398x = 327,184 - Step 5: Solve for x
x = 327,184/398 - Step 6: Final answer
x = 822.07
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.