Finding the Third Proportional to 714 and 1,931
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Solution
The third proportional to 714 and 1,931 is: 5,222.35
Step by Step Solution
- Step 1: Write the proportion equation
714 : 1,931 = 1,931 : x - Step 2: Convert to fraction form
714/1,931 = 1,931/x - Step 3: Cross multiply
714x = 1,931 × 1,931 - Step 4: Simplify right side
714x = 3,728,761 - Step 5: Solve for x
x = 3,728,761/714 - Step 6: Final answer
x = 5,222.35
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.