Finding the Third Proportional to 31,896 and 43,758
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Solution
The third proportional to 31,896 and 43,758 is: 60,031.43
Step by Step Solution
- Step 1: Write the proportion equation
31,896 : 43,758 = 43,758 : x - Step 2: Convert to fraction form
31,896/43,758 = 43,758/x - Step 3: Cross multiply
31,896x = 43,758 × 43,758 - Step 4: Simplify right side
31,896x = 1,914,762,564 - Step 5: Solve for x
x = 1,914,762,564/31,896 - Step 6: Final answer
x = 60,031.43
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.