Finding the Third Proportional to 71,771 and 106,836
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Solution
The third proportional to 71,771 and 106,836 is: 159,032.63
Step by Step Solution
- Step 1: Write the proportion equation
71,771 : 106,836 = 106,836 : x - Step 2: Convert to fraction form
71,771/106,836 = 106,836/x - Step 3: Cross multiply
71,771x = 106,836 × 106,836 - Step 4: Simplify right side
71,771x = 11,413,930,896 - Step 5: Solve for x
x = 11,413,930,896/71,771 - Step 6: Final answer
x = 159,032.63
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.