Finding the Third Proportional to 259,798.50 and 413,709.75
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Solution
The third proportional to 259,798.50 and 413,709.75 is: 658,801.95
Step by Step Solution
- Step 1: Write the proportion equation
259,798.50 : 413,709.75 = 413,709.75 : x - Step 2: Convert to fraction form
259,798.50/413,709.75 = 413,709.75/x - Step 3: Cross multiply
259,798.50x = 413,709.75 × 413,709.75 - Step 4: Simplify right side
259,798.50x = 171,155,757,245.06 - Step 5: Solve for x
x = 171,155,757,245.06/259,798.50 - Step 6: Final answer
x = 658,801.95
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.