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Finding the Third Proportional to 279,753 and 419,533.50

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Solution

The third proportional to 279,753 and 419,533.50 is: 629,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,753 : 419,533.50 = 419,533.50 : x
  2. Step 2: Convert to fraction form
    279,753/419,533.50 = 419,533.50/x
  3. Step 3: Cross multiply
    279,753x = 419,533.50 × 419,533.50
  4. Step 4: Simplify right side
    279,753x = 176,008,357,622.25
  5. Step 5: Solve for x
    x = 176,008,357,622.25/279,753
  6. Step 6: Final answer
    x = 629,156.28

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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.