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Finding the Third Proportional to 129,784 and 276,296

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Solution

The third proportional to 129,784 and 276,296 is: 588,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784 : 276,296 = 276,296 : x
  2. Step 2: Convert to fraction form
    129,784/276,296 = 276,296/x
  3. Step 3: Cross multiply
    129,784x = 276,296 × 276,296
  4. Step 4: Simplify right side
    129,784x = 76,339,479,616
  5. Step 5: Solve for x
    x = 76,339,479,616/129,784
  6. Step 6: Final answer
    x = 588,204.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.