Finding the Third Proportional to 208,660.50 and 313,962.75
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Solution
The third proportional to 208,660.50 and 313,962.75 is: 472,406.65
Step by Step Solution
- Step 1: Write the proportion equation
208,660.50 : 313,962.75 = 313,962.75 : x - Step 2: Convert to fraction form
208,660.50/313,962.75 = 313,962.75/x - Step 3: Cross multiply
208,660.50x = 313,962.75 × 313,962.75 - Step 4: Simplify right side
208,660.50x = 98,572,608,387.56 - Step 5: Solve for x
x = 98,572,608,387.56/208,660.50 - Step 6: Final answer
x = 472,406.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.