Finding the Third Proportional to 448 and 1,142
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Solution
The third proportional to 448 and 1,142 is: 2,911.08
Step by Step Solution
- Step 1: Write the proportion equation
448 : 1,142 = 1,142 : x - Step 2: Convert to fraction form
448/1,142 = 1,142/x - Step 3: Cross multiply
448x = 1,142 × 1,142 - Step 4: Simplify right side
448x = 1,304,164 - Step 5: Solve for x
x = 1,304,164/448 - Step 6: Final answer
x = 2,911.08
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These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.