Finding the Third Proportional to 454 and 523
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Solution
The third proportional to 454 and 523 is: 602.49
Step by Step Solution
- Step 1: Write the proportion equation
454 : 523 = 523 : x - Step 2: Convert to fraction form
454/523 = 523/x - Step 3: Cross multiply
454x = 523 × 523 - Step 4: Simplify right side
454x = 273,529 - Step 5: Solve for x
x = 273,529/454 - Step 6: Final answer
x = 602.49
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.