Finding the Third Proportional to 5,274 and 7,407
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Solution
The third proportional to 5,274 and 7,407 is: 10,402.66
Step by Step Solution
- Step 1: Write the proportion equation
5,274 : 7,407 = 7,407 : x - Step 2: Convert to fraction form
5,274/7,407 = 7,407/x - Step 3: Cross multiply
5,274x = 7,407 × 7,407 - Step 4: Simplify right side
5,274x = 54,863,649 - Step 5: Solve for x
x = 54,863,649/5,274 - Step 6: Final answer
x = 10,402.66
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.