Finding the Third Proportional to 21,942 and 29,997
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Solution
The third proportional to 21,942 and 29,997 is: 41,009.02
Step by Step Solution
- Step 1: Write the proportion equation
21,942 : 29,997 = 29,997 : x - Step 2: Convert to fraction form
21,942/29,997 = 29,997/x - Step 3: Cross multiply
21,942x = 29,997 × 29,997 - Step 4: Simplify right side
21,942x = 899,820,009 - Step 5: Solve for x
x = 899,820,009/21,942 - Step 6: Final answer
x = 41,009.02
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.