Finding the Third Proportional to 194 and 420
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Solution
The third proportional to 194 and 420 is: 909.28
Step by Step Solution
- Step 1: Write the proportion equation
194 : 420 = 420 : x - Step 2: Convert to fraction form
194/420 = 420/x - Step 3: Cross multiply
194x = 420 × 420 - Step 4: Simplify right side
194x = 176,400 - Step 5: Solve for x
x = 176,400/194 - Step 6: Final answer
x = 909.28
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.