Finding the Third Proportional to 75,270 and 102,525
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Solution
The third proportional to 75,270 and 102,525 is: 139,648.94
Step by Step Solution
- Step 1: Write the proportion equation
75,270 : 102,525 = 102,525 : x - Step 2: Convert to fraction form
75,270/102,525 = 102,525/x - Step 3: Cross multiply
75,270x = 102,525 × 102,525 - Step 4: Simplify right side
75,270x = 10,511,375,625 - Step 5: Solve for x
x = 10,511,375,625/75,270 - Step 6: Final answer
x = 139,648.94
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.