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Finding the Third Proportional to 121,518 and 183,954

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Solution

The third proportional to 121,518 and 183,954 is: 278,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,518 : 183,954 = 183,954 : x
  2. Step 2: Convert to fraction form
    121,518/183,954 = 183,954/x
  3. Step 3: Cross multiply
    121,518x = 183,954 × 183,954
  4. Step 4: Simplify right side
    121,518x = 33,839,074,116
  5. Step 5: Solve for x
    x = 33,839,074,116/121,518
  6. Step 6: Final answer
    x = 278,469.64

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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.