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Finding the Third Proportional to 23,222 and 33,860

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Solution

The third proportional to 23,222 and 33,860 is: 49,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222 : 33,860 = 33,860 : x
  2. Step 2: Convert to fraction form
    23,222/33,860 = 33,860/x
  3. Step 3: Cross multiply
    23,222x = 33,860 × 33,860
  4. Step 4: Simplify right side
    23,222x = 1,146,499,600
  5. Step 5: Solve for x
    x = 1,146,499,600/23,222
  6. Step 6: Final answer
    x = 49,371.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.