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Finding the Third Proportional to 81,227 and 121,841

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Solution

The third proportional to 81,227 and 121,841 is: 182,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,227 : 121,841 = 121,841 : x
  2. Step 2: Convert to fraction form
    81,227/121,841 = 121,841/x
  3. Step 3: Cross multiply
    81,227x = 121,841 × 121,841
  4. Step 4: Simplify right side
    81,227x = 14,845,229,281
  5. Step 5: Solve for x
    x = 14,845,229,281/81,227
  6. Step 6: Final answer
    x = 182,762.25

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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.