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Finding the Third Proportional to 20,408 and 28,740

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Solution

The third proportional to 20,408 and 28,740 is: 40,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408 : 28,740 = 28,740 : x
  2. Step 2: Convert to fraction form
    20,408/28,740 = 28,740/x
  3. Step 3: Cross multiply
    20,408x = 28,740 × 28,740
  4. Step 4: Simplify right side
    20,408x = 825,987,600
  5. Step 5: Solve for x
    x = 825,987,600/20,408
  6. Step 6: Final answer
    x = 40,473.72

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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.