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Finding the Third Proportional to 20,709 and 28,215

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Solution

The third proportional to 20,709 and 28,215 is: 38,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709 : 28,215 = 28,215 : x
  2. Step 2: Convert to fraction form
    20,709/28,215 = 28,215/x
  3. Step 3: Cross multiply
    20,709x = 28,215 × 28,215
  4. Step 4: Simplify right side
    20,709x = 796,086,225
  5. Step 5: Solve for x
    x = 796,086,225/20,709
  6. Step 6: Final answer
    x = 38,441.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.