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Finding the Third Proportional to 279,609,962 and 419,414,979

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Solution

The third proportional to 279,609,962 and 419,414,979 is: 629,122,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609,962 : 419,414,979 = 419,414,979 : x
  2. Step 2: Convert to fraction form
    279,609,962/419,414,979 = 419,414,979/x
  3. Step 3: Cross multiply
    279,609,962x = 419,414,979 × 419,414,979
  4. Step 4: Simplify right side
    279,609,962x = 175,908,924,609,570,432
  5. Step 5: Solve for x
    x = 175,908,924,609,570,432/279,609,962
  6. Step 6: Final answer
    x = 629,122,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.