Finding the Third Proportional to 420 and 551
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Solution
The third proportional to 420 and 551 is: 722.86
Step by Step Solution
- Step 1: Write the proportion equation
420 : 551 = 551 : x - Step 2: Convert to fraction form
420/551 = 551/x - Step 3: Cross multiply
420x = 551 × 551 - Step 4: Simplify right side
420x = 303,601 - Step 5: Solve for x
x = 303,601/420 - Step 6: Final answer
x = 722.86
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.