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Finding the Third Proportional to 13,902 and 20,850

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Solution

The third proportional to 13,902 and 20,850 is: 31,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 20,850 = 20,850 : x
  2. Step 2: Convert to fraction form
    13,902/20,850 = 20,850/x
  3. Step 3: Cross multiply
    13,902x = 20,850 × 20,850
  4. Step 4: Simplify right side
    13,902x = 434,722,500
  5. Step 5: Solve for x
    x = 434,722,500/13,902
  6. Step 6: Final answer
    x = 31,270.50

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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.