Finding the Third Proportional to 259,777.13 and 413,961.75
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Solution
The third proportional to 259,777.13 and 413,961.75 is: 659,659.05
Step by Step Solution
- Step 1: Write the proportion equation
259,777.13 : 413,961.75 = 413,961.75 : x - Step 2: Convert to fraction form
259,777.13/413,961.75 = 413,961.75/x - Step 3: Cross multiply
259,777.13x = 413,961.75 × 413,961.75 - Step 4: Simplify right side
259,777.13x = 171,364,330,463.06 - Step 5: Solve for x
x = 171,364,330,463.06/259,777.13 - Step 6: Final answer
x = 659,659.05
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.