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Finding the Third Proportional to 166,069 and 257,851

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Solution

The third proportional to 166,069 and 257,851 is: 400,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,069 : 257,851 = 257,851 : x
  2. Step 2: Convert to fraction form
    166,069/257,851 = 257,851/x
  3. Step 3: Cross multiply
    166,069x = 257,851 × 257,851
  4. Step 4: Simplify right side
    166,069x = 66,487,138,201
  5. Step 5: Solve for x
    x = 66,487,138,201/166,069
  6. Step 6: Final answer
    x = 400,358.51

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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.