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Finding the Third Proportional to 280,326 and 420,401

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Solution

The third proportional to 280,326 and 420,401 is: 630,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,326 : 420,401 = 420,401 : x
  2. Step 2: Convert to fraction form
    280,326/420,401 = 420,401/x
  3. Step 3: Cross multiply
    280,326x = 420,401 × 420,401
  4. Step 4: Simplify right side
    280,326x = 176,737,000,801
  5. Step 5: Solve for x
    x = 176,737,000,801/280,326
  6. Step 6: Final answer
    x = 630,469.53

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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.