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Finding the Third Proportional to 279,680 and 419,440

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Solution

The third proportional to 279,680 and 419,440 is: 629,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,680 : 419,440 = 419,440 : x
  2. Step 2: Convert to fraction form
    279,680/419,440 = 419,440/x
  3. Step 3: Cross multiply
    279,680x = 419,440 × 419,440
  4. Step 4: Simplify right side
    279,680x = 175,929,913,600
  5. Step 5: Solve for x
    x = 175,929,913,600/279,680
  6. Step 6: Final answer
    x = 629,040.02

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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.