Finding the Third Proportional to 920 and 1,494
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Solution
The third proportional to 920 and 1,494 is: 2,426.13
Step by Step Solution
- Step 1: Write the proportion equation
920 : 1,494 = 1,494 : x - Step 2: Convert to fraction form
920/1,494 = 1,494/x - Step 3: Cross multiply
920x = 1,494 × 1,494 - Step 4: Simplify right side
920x = 2,232,036 - Step 5: Solve for x
x = 2,232,036/920 - Step 6: Final answer
x = 2,426.13
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.