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Finding the Third Proportional to 128,055 and 184,470

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Solution

The third proportional to 128,055 and 184,470 is: 265,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,055 : 184,470 = 184,470 : x
  2. Step 2: Convert to fraction form
    128,055/184,470 = 184,470/x
  3. Step 3: Cross multiply
    128,055x = 184,470 × 184,470
  4. Step 4: Simplify right side
    128,055x = 34,029,180,900
  5. Step 5: Solve for x
    x = 34,029,180,900/128,055
  6. Step 6: Final answer
    x = 265,738.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.