Finding the Third Proportional to 257,123 and 558,471
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Solution
The third proportional to 257,123 and 558,471 is: 1,212,998.67
Step by Step Solution
- Step 1: Write the proportion equation
257,123 : 558,471 = 558,471 : x - Step 2: Convert to fraction form
257,123/558,471 = 558,471/x - Step 3: Cross multiply
257,123x = 558,471 × 558,471 - Step 4: Simplify right side
257,123x = 311,889,857,841 - Step 5: Solve for x
x = 311,889,857,841/257,123 - Step 6: Final answer
x = 1,212,998.67
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.