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Finding the Third Proportional to 121,286 and 184,377

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Solution

The third proportional to 121,286 and 184,377 is: 280,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286 : 184,377 = 184,377 : x
  2. Step 2: Convert to fraction form
    121,286/184,377 = 184,377/x
  3. Step 3: Cross multiply
    121,286x = 184,377 × 184,377
  4. Step 4: Simplify right side
    121,286x = 33,994,878,129
  5. Step 5: Solve for x
    x = 33,994,878,129/121,286
  6. Step 6: Final answer
    x = 280,286.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.