Finding the Third Proportional to 71,337 and 106,782.75
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Solution
The third proportional to 71,337 and 106,782.75 is: 159,840.70
Step by Step Solution
- Step 1: Write the proportion equation
71,337 : 106,782.75 = 106,782.75 : x - Step 2: Convert to fraction form
71,337/106,782.75 = 106,782.75/x - Step 3: Cross multiply
71,337x = 106,782.75 × 106,782.75 - Step 4: Simplify right side
71,337x = 11,402,555,697.56 - Step 5: Solve for x
x = 11,402,555,697.56/71,337 - Step 6: Final answer
x = 159,840.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.