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Finding the Third Proportional to 20,137 and 30,169

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Solution

The third proportional to 20,137 and 30,169 is: 45,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137 : 30,169 = 30,169 : x
  2. Step 2: Convert to fraction form
    20,137/30,169 = 30,169/x
  3. Step 3: Cross multiply
    20,137x = 30,169 × 30,169
  4. Step 4: Simplify right side
    20,137x = 910,168,561
  5. Step 5: Solve for x
    x = 910,168,561/20,137
  6. Step 6: Final answer
    x = 45,198.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.