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Finding the Third Proportional to 81,222 and 121,833

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Solution

The third proportional to 81,222 and 121,833 is: 182,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,222 : 121,833 = 121,833 : x
  2. Step 2: Convert to fraction form
    81,222/121,833 = 121,833/x
  3. Step 3: Cross multiply
    81,222x = 121,833 × 121,833
  4. Step 4: Simplify right side
    81,222x = 14,843,279,889
  5. Step 5: Solve for x
    x = 14,843,279,889/81,222
  6. Step 6: Final answer
    x = 182,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.