Finding the Third Proportional to 257,588.25 and 378,933.75
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Solution
The third proportional to 257,588.25 and 378,933.75 is: 557,443.08
Step by Step Solution
- Step 1: Write the proportion equation
257,588.25 : 378,933.75 = 378,933.75 : x - Step 2: Convert to fraction form
257,588.25/378,933.75 = 378,933.75/x - Step 3: Cross multiply
257,588.25x = 378,933.75 × 378,933.75 - Step 4: Simplify right side
257,588.25x = 143,590,786,889.06 - Step 5: Solve for x
x = 143,590,786,889.06/257,588.25 - Step 6: Final answer
x = 557,443.08
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.