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Finding the Third Proportional to 81,068 and 121,274

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Solution

The third proportional to 81,068 and 121,274 is: 181,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,068 : 121,274 = 121,274 : x
  2. Step 2: Convert to fraction form
    81,068/121,274 = 121,274/x
  3. Step 3: Cross multiply
    81,068x = 121,274 × 121,274
  4. Step 4: Simplify right side
    81,068x = 14,707,383,076
  5. Step 5: Solve for x
    x = 14,707,383,076/81,068
  6. Step 6: Final answer
    x = 181,420.33

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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.