Finding the Third Proportional to 206,403.75 and 290,661.75
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Solution
The third proportional to 206,403.75 and 290,661.75 is: 409,315.49
Step by Step Solution
- Step 1: Write the proportion equation
206,403.75 : 290,661.75 = 290,661.75 : x - Step 2: Convert to fraction form
206,403.75/290,661.75 = 290,661.75/x - Step 3: Cross multiply
206,403.75x = 290,661.75 × 290,661.75 - Step 4: Simplify right side
206,403.75x = 84,484,252,913.06 - Step 5: Solve for x
x = 84,484,252,913.06/206,403.75 - Step 6: Final answer
x = 409,315.49
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.