Finding the Third Proportional to 14,780 and 31,638
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Solution
The third proportional to 14,780 and 31,638 is: 67,724.16
Step by Step Solution
- Step 1: Write the proportion equation
14,780 : 31,638 = 31,638 : x - Step 2: Convert to fraction form
14,780/31,638 = 31,638/x - Step 3: Cross multiply
14,780x = 31,638 × 31,638 - Step 4: Simplify right side
14,780x = 1,000,963,044 - Step 5: Solve for x
x = 1,000,963,044/14,780 - Step 6: Final answer
x = 67,724.16
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.