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Finding the Third Proportional to 13,856 and 20,897

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Solution

The third proportional to 13,856 and 20,897 is: 31,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 20,897 = 20,897 : x
  2. Step 2: Convert to fraction form
    13,856/20,897 = 20,897/x
  3. Step 3: Cross multiply
    13,856x = 20,897 × 20,897
  4. Step 4: Simplify right side
    13,856x = 436,684,609
  5. Step 5: Solve for x
    x = 436,684,609/13,856
  6. Step 6: Final answer
    x = 31,515.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.