Finding the Third Proportional to 397,688,106 and 864,214,431
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Solution
The third proportional to 397,688,106 and 864,214,431 is: 1,878,020,920.11
Step by Step Solution
- Step 1: Write the proportion equation
397,688,106 : 864,214,431 = 864,214,431 : x - Step 2: Convert to fraction form
397,688,106/864,214,431 = 864,214,431/x - Step 3: Cross multiply
397,688,106x = 864,214,431 × 864,214,431 - Step 4: Simplify right side
397,688,106x = 746,866,582,748,653,824 - Step 5: Solve for x
x = 746,866,582,748,653,824/397,688,106 - Step 6: Final answer
x = 1,878,020,920.11
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.