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Finding the Third Proportional to 51,920 and 122,496

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Solution

The third proportional to 51,920 and 122,496 is: 289,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920 : 122,496 = 122,496 : x
  2. Step 2: Convert to fraction form
    51,920/122,496 = 122,496/x
  3. Step 3: Cross multiply
    51,920x = 122,496 × 122,496
  4. Step 4: Simplify right side
    51,920x = 15,005,270,016
  5. Step 5: Solve for x
    x = 15,005,270,016/51,920
  6. Step 6: Final answer
    x = 289,007.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.