Finding the Third Proportional to 30,917 and 41,997
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Solution
The third proportional to 30,917 and 41,997 is: 57,047.84
Step by Step Solution
- Step 1: Write the proportion equation
30,917 : 41,997 = 41,997 : x - Step 2: Convert to fraction form
30,917/41,997 = 41,997/x - Step 3: Cross multiply
30,917x = 41,997 × 41,997 - Step 4: Simplify right side
30,917x = 1,763,748,009 - Step 5: Solve for x
x = 1,763,748,009/30,917 - Step 6: Final answer
x = 57,047.84
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.