Finding the Third Proportional to 120,777.75 and 280,742.63
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Solution
The third proportional to 120,777.75 and 280,742.63 is: 652,574.02
Step by Step Solution
- Step 1: Write the proportion equation
120,777.75 : 280,742.63 = 280,742.63 : x - Step 2: Convert to fraction form
120,777.75/280,742.63 = 280,742.63/x - Step 3: Cross multiply
120,777.75x = 280,742.63 × 280,742.63 - Step 4: Simplify right side
120,777.75x = 78,816,421,491.89 - Step 5: Solve for x
x = 78,816,421,491.89/120,777.75 - Step 6: Final answer
x = 652,574.02
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.