Finding the Third Proportional to 72,567 and 109,945
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Solution
The third proportional to 72,567 and 109,945 is: 166,575.76
Step by Step Solution
- Step 1: Write the proportion equation
72,567 : 109,945 = 109,945 : x - Step 2: Convert to fraction form
72,567/109,945 = 109,945/x - Step 3: Cross multiply
72,567x = 109,945 × 109,945 - Step 4: Simplify right side
72,567x = 12,087,903,025 - Step 5: Solve for x
x = 12,087,903,025/72,567 - Step 6: Final answer
x = 166,575.76
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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.