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Finding the Third Proportional to 166,509 and 253,908

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Solution

The third proportional to 166,509 and 253,908 is: 387,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,509 : 253,908 = 253,908 : x
  2. Step 2: Convert to fraction form
    166,509/253,908 = 253,908/x
  3. Step 3: Cross multiply
    166,509x = 253,908 × 253,908
  4. Step 4: Simplify right side
    166,509x = 64,469,272,464
  5. Step 5: Solve for x
    x = 64,469,272,464/166,509
  6. Step 6: Final answer
    x = 387,181.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.