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Finding the Third Proportional to 15,111 and 21,242

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Solution

The third proportional to 15,111 and 21,242 is: 29,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111 : 21,242 = 21,242 : x
  2. Step 2: Convert to fraction form
    15,111/21,242 = 21,242/x
  3. Step 3: Cross multiply
    15,111x = 21,242 × 21,242
  4. Step 4: Simplify right side
    15,111x = 451,222,564
  5. Step 5: Solve for x
    x = 451,222,564/15,111
  6. Step 6: Final answer
    x = 29,860.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.