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Finding the Third Proportional to 20,132 and 28,739

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Solution

The third proportional to 20,132 and 28,739 is: 41,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132 : 28,739 = 28,739 : x
  2. Step 2: Convert to fraction form
    20,132/28,739 = 28,739/x
  3. Step 3: Cross multiply
    20,132x = 28,739 × 28,739
  4. Step 4: Simplify right side
    20,132x = 825,930,121
  5. Step 5: Solve for x
    x = 825,930,121/20,132
  6. Step 6: Final answer
    x = 41,025.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.