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Finding the Third Proportional to 51,878 and 115,852

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Solution

The third proportional to 51,878 and 115,852 is: 258,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,878 : 115,852 = 115,852 : x
  2. Step 2: Convert to fraction form
    51,878/115,852 = 115,852/x
  3. Step 3: Cross multiply
    51,878x = 115,852 × 115,852
  4. Step 4: Simplify right side
    51,878x = 13,421,685,904
  5. Step 5: Solve for x
    x = 13,421,685,904/51,878
  6. Step 6: Final answer
    x = 258,716.33

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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.