Finding the Third Proportional to 542 and 1,329
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Solution
The third proportional to 542 and 1,329 is: 3,258.75
Step by Step Solution
- Step 1: Write the proportion equation
542 : 1,329 = 1,329 : x - Step 2: Convert to fraction form
542/1,329 = 1,329/x - Step 3: Cross multiply
542x = 1,329 × 1,329 - Step 4: Simplify right side
542x = 1,766,241 - Step 5: Solve for x
x = 1,766,241/542 - Step 6: Final answer
x = 3,258.75
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.