Finding the Third Proportional to 257,524.13 and 378,843.38
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Solution
The third proportional to 257,524.13 and 378,843.38 is: 557,315.95
Step by Step Solution
- Step 1: Write the proportion equation
257,524.13 : 378,843.38 = 378,843.38 : x - Step 2: Convert to fraction form
257,524.13/378,843.38 = 378,843.38/x - Step 3: Cross multiply
257,524.13x = 378,843.38 × 378,843.38 - Step 4: Simplify right side
257,524.13x = 143,522,302,781.39 - Step 5: Solve for x
x = 143,522,302,781.39/257,524.13 - Step 6: Final answer
x = 557,315.95
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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.