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Finding the Third Proportional to 10,393 and 21,399

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Solution

The third proportional to 10,393 and 21,399 is: 44,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393 : 21,399 = 21,399 : x
  2. Step 2: Convert to fraction form
    10,393/21,399 = 21,399/x
  3. Step 3: Cross multiply
    10,393x = 21,399 × 21,399
  4. Step 4: Simplify right side
    10,393x = 457,917,201
  5. Step 5: Solve for x
    x = 457,917,201/10,393
  6. Step 6: Final answer
    x = 44,060.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.