Finding the Third Proportional to 490 and 534
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Solution
The third proportional to 490 and 534 is: 581.95
Step by Step Solution
- Step 1: Write the proportion equation
490 : 534 = 534 : x - Step 2: Convert to fraction form
490/534 = 534/x - Step 3: Cross multiply
490x = 534 × 534 - Step 4: Simplify right side
490x = 285,156 - Step 5: Solve for x
x = 285,156/490 - Step 6: Final answer
x = 581.95
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.