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Finding the Third Proportional to 280,919 and 619,101

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Solution

The third proportional to 280,919 and 619,101 is: 1,364,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,919 : 619,101 = 619,101 : x
  2. Step 2: Convert to fraction form
    280,919/619,101 = 619,101/x
  3. Step 3: Cross multiply
    280,919x = 619,101 × 619,101
  4. Step 4: Simplify right side
    280,919x = 383,286,048,201
  5. Step 5: Solve for x
    x = 383,286,048,201/280,919
  6. Step 6: Final answer
    x = 1,364,400.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.