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Finding the Third Proportional to 279,631,980 and 434,170,530

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Solution

The third proportional to 279,631,980 and 434,170,530 is: 674,114,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,631,980 : 434,170,530 = 434,170,530 : x
  2. Step 2: Convert to fraction form
    279,631,980/434,170,530 = 434,170,530/x
  3. Step 3: Cross multiply
    279,631,980x = 434,170,530 × 434,170,530
  4. Step 4: Simplify right side
    279,631,980x = 188,504,049,120,480,896
  5. Step 5: Solve for x
    x = 188,504,049,120,480,896/279,631,980
  6. Step 6: Final answer
    x = 674,114,774.43

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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.