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Finding the Third Proportional to 51,530 and 108,691

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Solution

The third proportional to 51,530 and 108,691 is: 229,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,530 : 108,691 = 108,691 : x
  2. Step 2: Convert to fraction form
    51,530/108,691 = 108,691/x
  3. Step 3: Cross multiply
    51,530x = 108,691 × 108,691
  4. Step 4: Simplify right side
    51,530x = 11,813,733,481
  5. Step 5: Solve for x
    x = 11,813,733,481/51,530
  6. Step 6: Final answer
    x = 229,259.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.