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Finding the Third Proportional to 13,900 and 20,791

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Solution

The third proportional to 13,900 and 20,791 is: 31,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 20,791 = 20,791 : x
  2. Step 2: Convert to fraction form
    13,900/20,791 = 20,791/x
  3. Step 3: Cross multiply
    13,900x = 20,791 × 20,791
  4. Step 4: Simplify right side
    13,900x = 432,265,681
  5. Step 5: Solve for x
    x = 432,265,681/13,900
  6. Step 6: Final answer
    x = 31,098.25

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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.