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Finding the Third Proportional to 377,218,482,150 and 822,709,539,627

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Solution

The third proportional to 377,218,482,150 and 822,709,539,627 is: 1,794,320,847,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,218,482,150 : 822,709,539,627 = 822,709,539,627 : x
  2. Step 2: Convert to fraction form
    377,218,482,150/822,709,539,627 = 822,709,539,627/x
  3. Step 3: Cross multiply
    377,218,482,150x = 822,709,539,627 × 822,709,539,627
  4. Step 4: Simplify right side
    377,218,482,150x = 676,850,986,593,270,324,264,960
  5. Step 5: Solve for x
    x = 676,850,986,593,270,324,264,960/377,218,482,150
  6. Step 6: Final answer
    x = 1,794,320,847,524.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.