Finding the Third Proportional to 6,980 and 9,174
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Solution
The third proportional to 6,980 and 9,174 is: 12,057.63
Step by Step Solution
- Step 1: Write the proportion equation
6,980 : 9,174 = 9,174 : x - Step 2: Convert to fraction form
6,980/9,174 = 9,174/x - Step 3: Cross multiply
6,980x = 9,174 × 9,174 - Step 4: Simplify right side
6,980x = 84,162,276 - Step 5: Solve for x
x = 84,162,276/6,980 - Step 6: Final answer
x = 12,057.63
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.