Finding the Third Proportional to 30,982 and 65,960
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Solution
The third proportional to 30,982 and 65,960 is: 140,427.40
Step by Step Solution
- Step 1: Write the proportion equation
30,982 : 65,960 = 65,960 : x - Step 2: Convert to fraction form
30,982/65,960 = 65,960/x - Step 3: Cross multiply
30,982x = 65,960 × 65,960 - Step 4: Simplify right side
30,982x = 4,350,721,600 - Step 5: Solve for x
x = 4,350,721,600/30,982 - Step 6: Final answer
x = 140,427.40
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.