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Finding the Third Proportional to 280,204 and 619,285

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Solution

The third proportional to 280,204 and 619,285 is: 1,368,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,204 : 619,285 = 619,285 : x
  2. Step 2: Convert to fraction form
    280,204/619,285 = 619,285/x
  3. Step 3: Cross multiply
    280,204x = 619,285 × 619,285
  4. Step 4: Simplify right side
    280,204x = 383,513,911,225
  5. Step 5: Solve for x
    x = 383,513,911,225/280,204
  6. Step 6: Final answer
    x = 1,368,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.