Finding the Third Proportional to 530,245,911,916.12 and 1,163,150,163,704.20
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Solution
The third proportional to 530,245,911,916.12 and 1,163,150,163,704.20 is: 2,551,492,190,550.12
Step by Step Solution
- Step 1: Write the proportion equation
530,245,911,916.12 : 1,163,150,163,704.20 = 1,163,150,163,704.20 : x - Step 2: Convert to fraction form
530,245,911,916.12/1,163,150,163,704.20 = 1,163,150,163,704.20/x - Step 3: Cross multiply
530,245,911,916.12x = 1,163,150,163,704.20 × 1,163,150,163,704.20 - Step 4: Simplify right side
530,245,911,916.12x = 1,352,918,303,325,107,204,915,200 - Step 5: Solve for x
x = 1,352,918,303,325,107,204,915,200/530,245,911,916.12 - Step 6: Final answer
x = 2,551,492,190,550.12
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.