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Finding the Third Proportional to 13,877 and 20,326

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Solution

The third proportional to 13,877 and 20,326 is: 29,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877 : 20,326 = 20,326 : x
  2. Step 2: Convert to fraction form
    13,877/20,326 = 20,326/x
  3. Step 3: Cross multiply
    13,877x = 20,326 × 20,326
  4. Step 4: Simplify right side
    13,877x = 413,146,276
  5. Step 5: Solve for x
    x = 413,146,276/13,877
  6. Step 6: Final answer
    x = 29,772.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.