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Finding the Third Proportional to 121,728 and 184,248

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Solution

The third proportional to 121,728 and 184,248 is: 278,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,728 : 184,248 = 184,248 : x
  2. Step 2: Convert to fraction form
    121,728/184,248 = 184,248/x
  3. Step 3: Cross multiply
    121,728x = 184,248 × 184,248
  4. Step 4: Simplify right side
    121,728x = 33,947,325,504
  5. Step 5: Solve for x
    x = 33,947,325,504/121,728
  6. Step 6: Final answer
    x = 278,878.53

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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.