Finding the Third Proportional to 329,645,043 and 686,418,497
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Solution
The third proportional to 329,645,043 and 686,418,497 is: 1,429,326,370.98
Step by Step Solution
- Step 1: Write the proportion equation
329,645,043 : 686,418,497 = 686,418,497 : x - Step 2: Convert to fraction form
329,645,043/686,418,497 = 686,418,497/x - Step 3: Cross multiply
329,645,043x = 686,418,497 × 686,418,497 - Step 4: Simplify right side
329,645,043x = 471,170,353,023,739,008 - Step 5: Solve for x
x = 471,170,353,023,739,008/329,645,043 - Step 6: Final answer
x = 1,429,326,370.98
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.