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Finding the Third Proportional to 280,105 and 420,357

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Solution

The third proportional to 280,105 and 420,357 is: 630,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,105 : 420,357 = 420,357 : x
  2. Step 2: Convert to fraction form
    280,105/420,357 = 420,357/x
  3. Step 3: Cross multiply
    280,105x = 420,357 × 420,357
  4. Step 4: Simplify right side
    280,105x = 176,700,007,449
  5. Step 5: Solve for x
    x = 176,700,007,449/280,105
  6. Step 6: Final answer
    x = 630,834.89

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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.