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Finding the Third Proportional to 279,002 and 417,405

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Solution

The third proportional to 279,002 and 417,405 is: 624,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,002 : 417,405 = 417,405 : x
  2. Step 2: Convert to fraction form
    279,002/417,405 = 417,405/x
  3. Step 3: Cross multiply
    279,002x = 417,405 × 417,405
  4. Step 4: Simplify right side
    279,002x = 174,226,934,025
  5. Step 5: Solve for x
    x = 174,226,934,025/279,002
  6. Step 6: Final answer
    x = 624,464.82

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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.