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Finding the Third Proportional to 81,774 and 120,838

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Solution

The third proportional to 81,774 and 120,838 is: 178,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774 : 120,838 = 120,838 : x
  2. Step 2: Convert to fraction form
    81,774/120,838 = 120,838/x
  3. Step 3: Cross multiply
    81,774x = 120,838 × 120,838
  4. Step 4: Simplify right side
    81,774x = 14,601,822,244
  5. Step 5: Solve for x
    x = 14,601,822,244/81,774
  6. Step 6: Final answer
    x = 178,563.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.