Finding the Third Proportional to 51,856 and 75,515
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Solution
The third proportional to 51,856 and 75,515 is: 109,968.28
Step by Step Solution
- Step 1: Write the proportion equation
51,856 : 75,515 = 75,515 : x - Step 2: Convert to fraction form
51,856/75,515 = 75,515/x - Step 3: Cross multiply
51,856x = 75,515 × 75,515 - Step 4: Simplify right side
51,856x = 5,702,515,225 - Step 5: Solve for x
x = 5,702,515,225/51,856 - Step 6: Final answer
x = 109,968.28
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.