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Finding the Third Proportional to 20,163 and 28,669

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Solution

The third proportional to 20,163 and 28,669 is: 40,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163 : 28,669 = 28,669 : x
  2. Step 2: Convert to fraction form
    20,163/28,669 = 28,669/x
  3. Step 3: Cross multiply
    20,163x = 28,669 × 28,669
  4. Step 4: Simplify right side
    20,163x = 821,911,561
  5. Step 5: Solve for x
    x = 821,911,561/20,163
  6. Step 6: Final answer
    x = 40,763.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.