Finding the Third Proportional to 7,946 and 10,449
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Solution
The third proportional to 7,946 and 10,449 is: 13,740.45
Step by Step Solution
- Step 1: Write the proportion equation
7,946 : 10,449 = 10,449 : x - Step 2: Convert to fraction form
7,946/10,449 = 10,449/x - Step 3: Cross multiply
7,946x = 10,449 × 10,449 - Step 4: Simplify right side
7,946x = 109,181,601 - Step 5: Solve for x
x = 109,181,601/7,946 - Step 6: Final answer
x = 13,740.45
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.