Finding the Third Proportional to 71,664 and 109,968
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Solution
The third proportional to 71,664 and 109,968 is: 168,745.27
Step by Step Solution
- Step 1: Write the proportion equation
71,664 : 109,968 = 109,968 : x - Step 2: Convert to fraction form
71,664/109,968 = 109,968/x - Step 3: Cross multiply
71,664x = 109,968 × 109,968 - Step 4: Simplify right side
71,664x = 12,092,961,024 - Step 5: Solve for x
x = 12,092,961,024/71,664 - Step 6: Final answer
x = 168,745.27
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.