Finding the Third Proportional to 106,872 and 166,778
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Solution
The third proportional to 106,872 and 166,778 is: 260,263.69
Step by Step Solution
- Step 1: Write the proportion equation
106,872 : 166,778 = 166,778 : x - Step 2: Convert to fraction form
106,872/166,778 = 166,778/x - Step 3: Cross multiply
106,872x = 166,778 × 166,778 - Step 4: Simplify right side
106,872x = 27,814,901,284 - Step 5: Solve for x
x = 27,814,901,284/106,872 - Step 6: Final answer
x = 260,263.69
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.