Finding the Third Proportional to 462 and 543
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Solution
The third proportional to 462 and 543 is: 638.20
Step by Step Solution
- Step 1: Write the proportion equation
462 : 543 = 543 : x - Step 2: Convert to fraction form
462/543 = 543/x - Step 3: Cross multiply
462x = 543 × 543 - Step 4: Simplify right side
462x = 294,849 - Step 5: Solve for x
x = 294,849/462 - Step 6: Final answer
x = 638.20
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.