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Finding the Third Proportional to 279,631,992 and 434,170,548

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Solution

The third proportional to 279,631,992 and 434,170,548 is: 674,114,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,631,992 : 434,170,548 = 434,170,548 : x
  2. Step 2: Convert to fraction form
    279,631,992/434,170,548 = 434,170,548/x
  3. Step 3: Cross multiply
    279,631,992x = 434,170,548 × 434,170,548
  4. Step 4: Simplify right side
    279,631,992x = 188,504,064,750,620,288
  5. Step 5: Solve for x
    x = 188,504,064,750,620,288/279,631,992
  6. Step 6: Final answer
    x = 674,114,801.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.