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Finding the Third Proportional to 166,259 and 356,147

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Solution

The third proportional to 166,259 and 356,147 is: 762,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,259 : 356,147 = 356,147 : x
  2. Step 2: Convert to fraction form
    166,259/356,147 = 356,147/x
  3. Step 3: Cross multiply
    166,259x = 356,147 × 356,147
  4. Step 4: Simplify right side
    166,259x = 126,840,685,609
  5. Step 5: Solve for x
    x = 126,840,685,609/166,259
  6. Step 6: Final answer
    x = 762,910.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.