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Finding the Third Proportional to 129,872 and 269,728

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Solution

The third proportional to 129,872 and 269,728 is: 560,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872 : 269,728 = 269,728 : x
  2. Step 2: Convert to fraction form
    129,872/269,728 = 269,728/x
  3. Step 3: Cross multiply
    129,872x = 269,728 × 269,728
  4. Step 4: Simplify right side
    129,872x = 72,753,193,984
  5. Step 5: Solve for x
    x = 72,753,193,984/129,872
  6. Step 6: Final answer
    x = 560,191.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.