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Finding the Third Proportional to 20,840 and 28,476

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Solution

The third proportional to 20,840 and 28,476 is: 38,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 28,476 = 28,476 : x
  2. Step 2: Convert to fraction form
    20,840/28,476 = 28,476/x
  3. Step 3: Cross multiply
    20,840x = 28,476 × 28,476
  4. Step 4: Simplify right side
    20,840x = 810,882,576
  5. Step 5: Solve for x
    x = 810,882,576/20,840
  6. Step 6: Final answer
    x = 38,909.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.