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Finding the Third Proportional to 275,578,766 and 408,202,278

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Solution

The third proportional to 275,578,766 and 408,202,278 is: 604,651,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,578,766 : 408,202,278 = 408,202,278 : x
  2. Step 2: Convert to fraction form
    275,578,766/408,202,278 = 408,202,278/x
  3. Step 3: Cross multiply
    275,578,766x = 408,202,278 × 408,202,278
  4. Step 4: Simplify right side
    275,578,766x = 166,629,099,764,389,280
  5. Step 5: Solve for x
    x = 166,629,099,764,389,280/275,578,766
  6. Step 6: Final answer
    x = 604,651,447.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.