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Finding the Third Proportional to 13,857 and 20,801.50

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Solution

The third proportional to 13,857 and 20,801.50 is: 31,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 20,801.50 = 20,801.50 : x
  2. Step 2: Convert to fraction form
    13,857/20,801.50 = 20,801.50/x
  3. Step 3: Cross multiply
    13,857x = 20,801.50 × 20,801.50
  4. Step 4: Simplify right side
    13,857x = 432,702,402.25
  5. Step 5: Solve for x
    x = 432,702,402.25/13,857
  6. Step 6: Final answer
    x = 31,226.27

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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.