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Finding the Third Proportional to 38,138 and 90,149

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Solution

The third proportional to 38,138 and 90,149 is: 213,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138 : 90,149 = 90,149 : x
  2. Step 2: Convert to fraction form
    38,138/90,149 = 90,149/x
  3. Step 3: Cross multiply
    38,138x = 90,149 × 90,149
  4. Step 4: Simplify right side
    38,138x = 8,126,842,201
  5. Step 5: Solve for x
    x = 8,126,842,201/38,138
  6. Step 6: Final answer
    x = 213,090.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.