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Finding the Third Proportional to 10,212 and 21,344

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Solution

The third proportional to 10,212 and 21,344 is: 44,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212 : 21,344 = 21,344 : x
  2. Step 2: Convert to fraction form
    10,212/21,344 = 21,344/x
  3. Step 3: Cross multiply
    10,212x = 21,344 × 21,344
  4. Step 4: Simplify right side
    10,212x = 455,566,336
  5. Step 5: Solve for x
    x = 455,566,336/10,212
  6. Step 6: Final answer
    x = 44,610.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.