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Finding the Third Proportional to 121,900 and 184,146

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Solution

The third proportional to 121,900 and 184,146 is: 278,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,900 : 184,146 = 184,146 : x
  2. Step 2: Convert to fraction form
    121,900/184,146 = 184,146/x
  3. Step 3: Cross multiply
    121,900x = 184,146 × 184,146
  4. Step 4: Simplify right side
    121,900x = 33,909,749,316
  5. Step 5: Solve for x
    x = 33,909,749,316/121,900
  6. Step 6: Final answer
    x = 278,176.78

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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.