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Finding the Third Proportional to 121,555 and 184,011

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Solution

The third proportional to 121,555 and 184,011 is: 278,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,555 : 184,011 = 184,011 : x
  2. Step 2: Convert to fraction form
    121,555/184,011 = 184,011/x
  3. Step 3: Cross multiply
    121,555x = 184,011 × 184,011
  4. Step 4: Simplify right side
    121,555x = 33,860,048,121
  5. Step 5: Solve for x
    x = 33,860,048,121/121,555
  6. Step 6: Final answer
    x = 278,557.43

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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.