Finding the Third Proportional to 420 and 476
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Solution
The third proportional to 420 and 476 is: 539.47
Step by Step Solution
- Step 1: Write the proportion equation
420 : 476 = 476 : x - Step 2: Convert to fraction form
420/476 = 476/x - Step 3: Cross multiply
420x = 476 × 476 - Step 4: Simplify right side
420x = 226,576 - Step 5: Solve for x
x = 226,576/420 - Step 6: Final answer
x = 539.47
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.