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Finding the Third Proportional to 20,478 and 28,857

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Solution

The third proportional to 20,478 and 28,857 is: 40,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478 : 28,857 = 28,857 : x
  2. Step 2: Convert to fraction form
    20,478/28,857 = 28,857/x
  3. Step 3: Cross multiply
    20,478x = 28,857 × 28,857
  4. Step 4: Simplify right side
    20,478x = 832,726,449
  5. Step 5: Solve for x
    x = 832,726,449/20,478
  6. Step 6: Final answer
    x = 40,664.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.