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Finding the Third Proportional to 38,851 and 85,868

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Solution

The third proportional to 38,851 and 85,868 is: 189,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851 : 85,868 = 85,868 : x
  2. Step 2: Convert to fraction form
    38,851/85,868 = 85,868/x
  3. Step 3: Cross multiply
    38,851x = 85,868 × 85,868
  4. Step 4: Simplify right side
    38,851x = 7,373,313,424
  5. Step 5: Solve for x
    x = 7,373,313,424/38,851
  6. Step 6: Final answer
    x = 189,784.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.