Finding the Third Proportional to 67,738 and 102,957
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Solution
The third proportional to 67,738 and 102,957 is: 156,487.41
Step by Step Solution
- Step 1: Write the proportion equation
67,738 : 102,957 = 102,957 : x - Step 2: Convert to fraction form
67,738/102,957 = 102,957/x - Step 3: Cross multiply
67,738x = 102,957 × 102,957 - Step 4: Simplify right side
67,738x = 10,600,143,849 - Step 5: Solve for x
x = 10,600,143,849/67,738 - Step 6: Final answer
x = 156,487.41
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.