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Finding the Third Proportional to 20,168 and 28,209

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Solution

The third proportional to 20,168 and 28,209 is: 39,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168 : 28,209 = 28,209 : x
  2. Step 2: Convert to fraction form
    20,168/28,209 = 28,209/x
  3. Step 3: Cross multiply
    20,168x = 28,209 × 28,209
  4. Step 4: Simplify right side
    20,168x = 795,747,681
  5. Step 5: Solve for x
    x = 795,747,681/20,168
  6. Step 6: Final answer
    x = 39,455.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.