Finding the Third Proportional to 122,480,102,754 and 192,134,966,868
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Solution
The third proportional to 122,480,102,754 and 192,134,966,868 is: 301,402,796,562.90
Step by Step Solution
- Step 1: Write the proportion equation
122,480,102,754 : 192,134,966,868 = 192,134,966,868 : x - Step 2: Convert to fraction form
122,480,102,754/192,134,966,868 = 192,134,966,868/x - Step 3: Cross multiply
122,480,102,754x = 192,134,966,868 × 192,134,966,868 - Step 4: Simplify right side
122,480,102,754x = 36,915,845,493,367,458,758,656 - Step 5: Solve for x
x = 36,915,845,493,367,458,758,656/122,480,102,754 - Step 6: Final answer
x = 301,402,796,562.90
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.