Finding the Third Proportional to 340 and 492
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Solution
The third proportional to 340 and 492 is: 711.95
Step by Step Solution
- Step 1: Write the proportion equation
340 : 492 = 492 : x - Step 2: Convert to fraction form
340/492 = 492/x - Step 3: Cross multiply
340x = 492 × 492 - Step 4: Simplify right side
340x = 242,064 - Step 5: Solve for x
x = 242,064/340 - Step 6: Final answer
x = 711.95
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.