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Finding the Third Proportional to 820,860,992 and 1,805,892,570

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Solution

The third proportional to 820,860,992 and 1,805,892,570 is: 3,972,960,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,860,992 : 1,805,892,570 = 1,805,892,570 : x
  2. Step 2: Convert to fraction form
    820,860,992/1,805,892,570 = 1,805,892,570/x
  3. Step 3: Cross multiply
    820,860,992x = 1,805,892,570 × 1,805,892,570
  4. Step 4: Simplify right side
    820,860,992x = 3,261,247,974,381,204,992
  5. Step 5: Solve for x
    x = 3,261,247,974,381,204,992/820,860,992
  6. Step 6: Final answer
    x = 3,972,960,106.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.