Finding the Third Proportional to 7,670 and 15,662
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Solution
The third proportional to 7,670 and 15,662 is: 31,981.52
Step by Step Solution
- Step 1: Write the proportion equation
7,670 : 15,662 = 15,662 : x - Step 2: Convert to fraction form
7,670/15,662 = 15,662/x - Step 3: Cross multiply
7,670x = 15,662 × 15,662 - Step 4: Simplify right side
7,670x = 245,298,244 - Step 5: Solve for x
x = 245,298,244/7,670 - Step 6: Final answer
x = 31,981.52
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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.