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Finding the Third Proportional to 51,867 and 115,479

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Solution

The third proportional to 51,867 and 115,479 is: 257,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,867 : 115,479 = 115,479 : x
  2. Step 2: Convert to fraction form
    51,867/115,479 = 115,479/x
  3. Step 3: Cross multiply
    51,867x = 115,479 × 115,479
  4. Step 4: Simplify right side
    51,867x = 13,335,399,441
  5. Step 5: Solve for x
    x = 13,335,399,441/51,867
  6. Step 6: Final answer
    x = 257,107.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.