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Finding the Third Proportional to 51,036 and 108,249

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Solution

The third proportional to 51,036 and 108,249 is: 229,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036 : 108,249 = 108,249 : x
  2. Step 2: Convert to fraction form
    51,036/108,249 = 108,249/x
  3. Step 3: Cross multiply
    51,036x = 108,249 × 108,249
  4. Step 4: Simplify right side
    51,036x = 11,717,846,001
  5. Step 5: Solve for x
    x = 11,717,846,001/51,036
  6. Step 6: Final answer
    x = 229,599.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.