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Finding the Third Proportional to 21,198 and 49,287

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Solution

The third proportional to 21,198 and 49,287 is: 114,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198 : 49,287 = 49,287 : x
  2. Step 2: Convert to fraction form
    21,198/49,287 = 49,287/x
  3. Step 3: Cross multiply
    21,198x = 49,287 × 49,287
  4. Step 4: Simplify right side
    21,198x = 2,429,208,369
  5. Step 5: Solve for x
    x = 2,429,208,369/21,198
  6. Step 6: Final answer
    x = 114,596.11

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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.