Finding the Third Proportional to 51,471,035.51 and 78,412,572.70
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Solution
The third proportional to 51,471,035.51 and 78,412,572.70 is: 119,456,146.50
Step by Step Solution
- Step 1: Write the proportion equation
51,471,035.51 : 78,412,572.70 = 78,412,572.70 : x - Step 2: Convert to fraction form
51,471,035.51/78,412,572.70 = 78,412,572.70/x - Step 3: Cross multiply
51,471,035.51x = 78,412,572.70 × 78,412,572.70 - Step 4: Simplify right side
51,471,035.51x = 6,148,531,557,922,864 - Step 5: Solve for x
x = 6,148,531,557,922,864/51,471,035.51 - Step 6: Final answer
x = 119,456,146.50
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.