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Finding the Third Proportional to 13,827 and 20,809.50

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Solution

The third proportional to 13,827 and 20,809.50 is: 31,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 20,809.50 = 20,809.50 : x
  2. Step 2: Convert to fraction form
    13,827/20,809.50 = 20,809.50/x
  3. Step 3: Cross multiply
    13,827x = 20,809.50 × 20,809.50
  4. Step 4: Simplify right side
    13,827x = 433,035,290.25
  5. Step 5: Solve for x
    x = 433,035,290.25/13,827
  6. Step 6: Final answer
    x = 31,318.09

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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.