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Finding the Third Proportional to 10,425 and 21,237

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Solution

The third proportional to 10,425 and 21,237 is: 43,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 21,237 = 21,237 : x
  2. Step 2: Convert to fraction form
    10,425/21,237 = 21,237/x
  3. Step 3: Cross multiply
    10,425x = 21,237 × 21,237
  4. Step 4: Simplify right side
    10,425x = 451,010,169
  5. Step 5: Solve for x
    x = 451,010,169/10,425
  6. Step 6: Final answer
    x = 43,262.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.