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Finding the Third Proportional to 21,165 and 49,212

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Solution

The third proportional to 21,165 and 49,212 is: 114,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165 : 49,212 = 49,212 : x
  2. Step 2: Convert to fraction form
    21,165/49,212 = 49,212/x
  3. Step 3: Cross multiply
    21,165x = 49,212 × 49,212
  4. Step 4: Simplify right side
    21,165x = 2,421,820,944
  5. Step 5: Solve for x
    x = 2,421,820,944/21,165
  6. Step 6: Final answer
    x = 114,425.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.