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Finding the Third Proportional to 121,409 and 182,923

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Solution

The third proportional to 121,409 and 182,923 is: 275,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409 : 182,923 = 182,923 : x
  2. Step 2: Convert to fraction form
    121,409/182,923 = 182,923/x
  3. Step 3: Cross multiply
    121,409x = 182,923 × 182,923
  4. Step 4: Simplify right side
    121,409x = 33,460,823,929
  5. Step 5: Solve for x
    x = 33,460,823,929/121,409
  6. Step 6: Final answer
    x = 275,604.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.