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Finding the Third Proportional to 166,084 and 257,876

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Solution

The third proportional to 166,084 and 257,876 is: 400,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,084 : 257,876 = 257,876 : x
  2. Step 2: Convert to fraction form
    166,084/257,876 = 257,876/x
  3. Step 3: Cross multiply
    166,084x = 257,876 × 257,876
  4. Step 4: Simplify right side
    166,084x = 66,500,031,376
  5. Step 5: Solve for x
    x = 66,500,031,376/166,084
  6. Step 6: Final answer
    x = 400,399.99

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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.