Finding the Third Proportional to 678,298,524 and 1,469,282,376
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Solution
The third proportional to 678,298,524 and 1,469,282,376 is: 3,182,655,754.13
Step by Step Solution
- Step 1: Write the proportion equation
678,298,524 : 1,469,282,376 = 1,469,282,376 : x - Step 2: Convert to fraction form
678,298,524/1,469,282,376 = 1,469,282,376/x - Step 3: Cross multiply
678,298,524x = 1,469,282,376 × 1,469,282,376 - Step 4: Simplify right side
678,298,524x = 2,158,790,700,424,205,312 - Step 5: Solve for x
x = 2,158,790,700,424,205,312/678,298,524 - Step 6: Final answer
x = 3,182,655,754.13
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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.