Finding the Third Proportional to 329,645,042 and 686,418,498
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Solution
The third proportional to 329,645,042 and 686,418,498 is: 1,429,326,379.48
Step by Step Solution
- Step 1: Write the proportion equation
329,645,042 : 686,418,498 = 686,418,498 : x - Step 2: Convert to fraction form
329,645,042/686,418,498 = 686,418,498/x - Step 3: Cross multiply
329,645,042x = 686,418,498 × 686,418,498 - Step 4: Simplify right side
329,645,042x = 471,170,354,396,576,000 - Step 5: Solve for x
x = 471,170,354,396,576,000/329,645,042 - Step 6: Final answer
x = 1,429,326,379.48
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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.