Finding the Third Proportional to 961 and 2,170
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Solution
The third proportional to 961 and 2,170 is: 4,900
Step by Step Solution
- Step 1: Write the proportion equation
961 : 2,170 = 2,170 : x - Step 2: Convert to fraction form
961/2,170 = 2,170/x - Step 3: Cross multiply
961x = 2,170 × 2,170 - Step 4: Simplify right side
961x = 4,708,900 - Step 5: Solve for x
x = 4,708,900/961 - Step 6: Final answer
x = 4,900
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.