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Finding the Third Proportional to 171,778 and 256,876

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Solution

The third proportional to 171,778 and 256,876 is: 384,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,778 : 256,876 = 256,876 : x
  2. Step 2: Convert to fraction form
    171,778/256,876 = 256,876/x
  3. Step 3: Cross multiply
    171,778x = 256,876 × 256,876
  4. Step 4: Simplify right side
    171,778x = 65,985,279,376
  5. Step 5: Solve for x
    x = 65,985,279,376/171,778
  6. Step 6: Final answer
    x = 384,131.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.