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Finding the Third Proportional to 129,816 and 269,496

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Solution

The third proportional to 129,816 and 269,496 is: 559,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,816 : 269,496 = 269,496 : x
  2. Step 2: Convert to fraction form
    129,816/269,496 = 269,496/x
  3. Step 3: Cross multiply
    129,816x = 269,496 × 269,496
  4. Step 4: Simplify right side
    129,816x = 72,628,094,016
  5. Step 5: Solve for x
    x = 72,628,094,016/129,816
  6. Step 6: Final answer
    x = 559,469.51

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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.