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Finding the Third Proportional to 51,698 and 115,087

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Solution

The third proportional to 51,698 and 115,087 is: 256,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,698 : 115,087 = 115,087 : x
  2. Step 2: Convert to fraction form
    51,698/115,087 = 115,087/x
  3. Step 3: Cross multiply
    51,698x = 115,087 × 115,087
  4. Step 4: Simplify right side
    51,698x = 13,245,017,569
  5. Step 5: Solve for x
    x = 13,245,017,569/51,698
  6. Step 6: Final answer
    x = 256,199.81

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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.