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Finding the Third Proportional to 21,831 and 24,207

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Solution

The third proportional to 21,831 and 24,207 is: 26,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831 : 24,207 = 24,207 : x
  2. Step 2: Convert to fraction form
    21,831/24,207 = 24,207/x
  3. Step 3: Cross multiply
    21,831x = 24,207 × 24,207
  4. Step 4: Simplify right side
    21,831x = 585,978,849
  5. Step 5: Solve for x
    x = 585,978,849/21,831
  6. Step 6: Final answer
    x = 26,841.59

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.