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Finding the Third Proportional to 21,102 and 49,299

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Solution

The third proportional to 21,102 and 49,299 is: 115,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102 : 49,299 = 49,299 : x
  2. Step 2: Convert to fraction form
    21,102/49,299 = 49,299/x
  3. Step 3: Cross multiply
    21,102x = 49,299 × 49,299
  4. Step 4: Simplify right side
    21,102x = 2,430,391,401
  5. Step 5: Solve for x
    x = 2,430,391,401/21,102
  6. Step 6: Final answer
    x = 115,173.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.