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Finding the Third Proportional to 81,194 and 121,381

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Solution

The third proportional to 81,194 and 121,381 is: 181,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194 : 121,381 = 121,381 : x
  2. Step 2: Convert to fraction form
    81,194/121,381 = 121,381/x
  3. Step 3: Cross multiply
    81,194x = 121,381 × 121,381
  4. Step 4: Simplify right side
    81,194x = 14,733,347,161
  5. Step 5: Solve for x
    x = 14,733,347,161/81,194
  6. Step 6: Final answer
    x = 181,458.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.