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Finding the Third Proportional to 57,815 and 126,214

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Solution

The third proportional to 57,815 and 126,214 is: 275,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,815 : 126,214 = 126,214 : x
  2. Step 2: Convert to fraction form
    57,815/126,214 = 126,214/x
  3. Step 3: Cross multiply
    57,815x = 126,214 × 126,214
  4. Step 4: Simplify right side
    57,815x = 15,929,973,796
  5. Step 5: Solve for x
    x = 15,929,973,796/57,815
  6. Step 6: Final answer
    x = 275,533.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.