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Finding the Third Proportional to 206,784 and 280,643

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Solution

The third proportional to 206,784 and 280,643 is: 380,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,784 : 280,643 = 280,643 : x
  2. Step 2: Convert to fraction form
    206,784/280,643 = 280,643/x
  3. Step 3: Cross multiply
    206,784x = 280,643 × 280,643
  4. Step 4: Simplify right side
    206,784x = 78,760,493,449
  5. Step 5: Solve for x
    x = 78,760,493,449/206,784
  6. Step 6: Final answer
    x = 380,882.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.