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Finding the Third Proportional to 121,291 and 184,385

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Solution

The third proportional to 121,291 and 184,385 is: 280,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,291 : 184,385 = 184,385 : x
  2. Step 2: Convert to fraction form
    121,291/184,385 = 184,385/x
  3. Step 3: Cross multiply
    121,291x = 184,385 × 184,385
  4. Step 4: Simplify right side
    121,291x = 33,997,828,225
  5. Step 5: Solve for x
    x = 33,997,828,225/121,291
  6. Step 6: Final answer
    x = 280,299.68

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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.