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Finding the Third Proportional to 203,126 and 419,140

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Solution

The third proportional to 203,126 and 419,140 is: 864,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,126 : 419,140 = 419,140 : x
  2. Step 2: Convert to fraction form
    203,126/419,140 = 419,140/x
  3. Step 3: Cross multiply
    203,126x = 419,140 × 419,140
  4. Step 4: Simplify right side
    203,126x = 175,678,339,600
  5. Step 5: Solve for x
    x = 175,678,339,600/203,126
  6. Step 6: Final answer
    x = 864,873.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.