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Finding the Third Proportional to 20,966 and 28,489

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Solution

The third proportional to 20,966 and 28,489 is: 38,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966 : 28,489 = 28,489 : x
  2. Step 2: Convert to fraction form
    20,966/28,489 = 28,489/x
  3. Step 3: Cross multiply
    20,966x = 28,489 × 28,489
  4. Step 4: Simplify right side
    20,966x = 811,623,121
  5. Step 5: Solve for x
    x = 811,623,121/20,966
  6. Step 6: Final answer
    x = 38,711.40

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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.