Finding the Third Proportional to 49,390 and 76,497
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Solution
The third proportional to 49,390 and 76,497 is: 118,481.29
Step by Step Solution
- Step 1: Write the proportion equation
49,390 : 76,497 = 76,497 : x - Step 2: Convert to fraction form
49,390/76,497 = 76,497/x - Step 3: Cross multiply
49,390x = 76,497 × 76,497 - Step 4: Simplify right side
49,390x = 5,851,791,009 - Step 5: Solve for x
x = 5,851,791,009/49,390 - Step 6: Final answer
x = 118,481.29
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.