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Finding the Third Proportional to 280,328 and 420,404

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Solution

The third proportional to 280,328 and 420,404 is: 630,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,328 : 420,404 = 420,404 : x
  2. Step 2: Convert to fraction form
    280,328/420,404 = 420,404/x
  3. Step 3: Cross multiply
    280,328x = 420,404 × 420,404
  4. Step 4: Simplify right side
    280,328x = 176,739,523,216
  5. Step 5: Solve for x
    x = 176,739,523,216/280,328
  6. Step 6: Final answer
    x = 630,474.03

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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.