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Finding the Third Proportional to 166,150 and 261,129

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Solution

The third proportional to 166,150 and 261,129 is: 410,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,150 : 261,129 = 261,129 : x
  2. Step 2: Convert to fraction form
    166,150/261,129 = 261,129/x
  3. Step 3: Cross multiply
    166,150x = 261,129 × 261,129
  4. Step 4: Simplify right side
    166,150x = 68,188,354,641
  5. Step 5: Solve for x
    x = 68,188,354,641/166,150
  6. Step 6: Final answer
    x = 410,402.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.