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Finding the Third Proportional to 10,897 and 21,201

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Solution

The third proportional to 10,897 and 21,201 is: 41,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897 : 21,201 = 21,201 : x
  2. Step 2: Convert to fraction form
    10,897/21,201 = 21,201/x
  3. Step 3: Cross multiply
    10,897x = 21,201 × 21,201
  4. Step 4: Simplify right side
    10,897x = 449,482,401
  5. Step 5: Solve for x
    x = 449,482,401/10,897
  6. Step 6: Final answer
    x = 41,248.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.