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Finding the Third Proportional to 38,684 and 90,851

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Solution

The third proportional to 38,684 and 90,851 is: 213,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,684 : 90,851 = 90,851 : x
  2. Step 2: Convert to fraction form
    38,684/90,851 = 90,851/x
  3. Step 3: Cross multiply
    38,684x = 90,851 × 90,851
  4. Step 4: Simplify right side
    38,684x = 8,253,904,201
  5. Step 5: Solve for x
    x = 8,253,904,201/38,684
  6. Step 6: Final answer
    x = 213,367.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.