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Finding the Third Proportional to 166,619 and 258,069

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Solution

The third proportional to 166,619 and 258,069 is: 399,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,619 : 258,069 = 258,069 : x
  2. Step 2: Convert to fraction form
    166,619/258,069 = 258,069/x
  3. Step 3: Cross multiply
    166,619x = 258,069 × 258,069
  4. Step 4: Simplify right side
    166,619x = 66,599,608,761
  5. Step 5: Solve for x
    x = 66,599,608,761/166,619
  6. Step 6: Final answer
    x = 399,711.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.