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Finding the Third Proportional to 10,021 and 13,897

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Solution

The third proportional to 10,021 and 13,897 is: 19,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021 : 13,897 = 13,897 : x
  2. Step 2: Convert to fraction form
    10,021/13,897 = 13,897/x
  3. Step 3: Cross multiply
    10,021x = 13,897 × 13,897
  4. Step 4: Simplify right side
    10,021x = 193,126,609
  5. Step 5: Solve for x
    x = 193,126,609/10,021
  6. Step 6: Final answer
    x = 19,272.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.