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Finding the Third Proportional to 40,021 and 86,249

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Solution

The third proportional to 40,021 and 86,249 is: 185,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,021 : 86,249 = 86,249 : x
  2. Step 2: Convert to fraction form
    40,021/86,249 = 86,249/x
  3. Step 3: Cross multiply
    40,021x = 86,249 × 86,249
  4. Step 4: Simplify right side
    40,021x = 7,438,890,001
  5. Step 5: Solve for x
    x = 7,438,890,001/40,021
  6. Step 6: Final answer
    x = 185,874.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.