Finding the Third Proportional to 100,145,078 and 213,517,948
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Solution
The third proportional to 100,145,078 and 213,517,948 is: 455,238,689.99
Step by Step Solution
- Step 1: Write the proportion equation
100,145,078 : 213,517,948 = 213,517,948 : x - Step 2: Convert to fraction form
100,145,078/213,517,948 = 213,517,948/x - Step 3: Cross multiply
100,145,078x = 213,517,948 × 213,517,948 - Step 4: Simplify right side
100,145,078x = 45,589,914,118,130,704 - Step 5: Solve for x
x = 45,589,914,118,130,704/100,145,078 - Step 6: Final answer
x = 455,238,689.99
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.