Finding the Third Proportional to 7,665 and 15,654
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Solution
The third proportional to 7,665 and 15,654 is: 31,969.70
Step by Step Solution
- Step 1: Write the proportion equation
7,665 : 15,654 = 15,654 : x - Step 2: Convert to fraction form
7,665/15,654 = 15,654/x - Step 3: Cross multiply
7,665x = 15,654 × 15,654 - Step 4: Simplify right side
7,665x = 245,047,716 - Step 5: Solve for x
x = 245,047,716/7,665 - Step 6: Final answer
x = 31,969.70
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.