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Finding the Third Proportional to 40,778 and 57,425

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Solution

The third proportional to 40,778 and 57,425 is: 80,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,778 : 57,425 = 57,425 : x
  2. Step 2: Convert to fraction form
    40,778/57,425 = 57,425/x
  3. Step 3: Cross multiply
    40,778x = 57,425 × 57,425
  4. Step 4: Simplify right side
    40,778x = 3,297,630,625
  5. Step 5: Solve for x
    x = 3,297,630,625/40,778
  6. Step 6: Final answer
    x = 80,867.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.