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Finding the Third Proportional to 121,831 and 182,746

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Solution

The third proportional to 121,831 and 182,746 is: 274,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,831 : 182,746 = 182,746 : x
  2. Step 2: Convert to fraction form
    121,831/182,746 = 182,746/x
  3. Step 3: Cross multiply
    121,831x = 182,746 × 182,746
  4. Step 4: Simplify right side
    121,831x = 33,396,100,516
  5. Step 5: Solve for x
    x = 33,396,100,516/121,831
  6. Step 6: Final answer
    x = 274,118.25

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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.