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Finding the Third Proportional to 21,221 and 49,550

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Solution

The third proportional to 21,221 and 49,550 is: 115,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221 : 49,550 = 49,550 : x
  2. Step 2: Convert to fraction form
    21,221/49,550 = 49,550/x
  3. Step 3: Cross multiply
    21,221x = 49,550 × 49,550
  4. Step 4: Simplify right side
    21,221x = 2,455,202,500
  5. Step 5: Solve for x
    x = 2,455,202,500/21,221
  6. Step 6: Final answer
    x = 115,696.83

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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.