Finding the Third Proportional to 823,204,369,746 and 1,783,168,113,060
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Solution
The third proportional to 823,204,369,746 and 1,783,168,113,060 is: 3,862,574,879,692.46
Step by Step Solution
- Step 1: Write the proportion equation
823,204,369,746 : 1,783,168,113,060 = 1,783,168,113,060 : x - Step 2: Convert to fraction form
823,204,369,746/1,783,168,113,060 = 1,783,168,113,060/x - Step 3: Cross multiply
823,204,369,746x = 1,783,168,113,060 × 1,783,168,113,060 - Step 4: Simplify right side
823,204,369,746x = 3,179,688,519,433,960,944,566,272 - Step 5: Solve for x
x = 3,179,688,519,433,960,944,566,272/823,204,369,746 - Step 6: Final answer
x = 3,862,574,879,692.46
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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.