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Finding the Third Proportional to 10,921 and 23,399

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Solution

The third proportional to 10,921 and 23,399 is: 50,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921 : 23,399 = 23,399 : x
  2. Step 2: Convert to fraction form
    10,921/23,399 = 23,399/x
  3. Step 3: Cross multiply
    10,921x = 23,399 × 23,399
  4. Step 4: Simplify right side
    10,921x = 547,513,201
  5. Step 5: Solve for x
    x = 547,513,201/10,921
  6. Step 6: Final answer
    x = 50,133.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.