Finding the Third Proportional to 420 and 624
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Solution
The third proportional to 420 and 624 is: 927.09
Step by Step Solution
- Step 1: Write the proportion equation
420 : 624 = 624 : x - Step 2: Convert to fraction form
420/624 = 624/x - Step 3: Cross multiply
420x = 624 × 624 - Step 4: Simplify right side
420x = 389,376 - Step 5: Solve for x
x = 389,376/420 - Step 6: Final answer
x = 927.09
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.