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Finding the Third Proportional to 128,214 and 273,852

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Solution

The third proportional to 128,214 and 273,852 is: 584,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214 : 273,852 = 273,852 : x
  2. Step 2: Convert to fraction form
    128,214/273,852 = 273,852/x
  3. Step 3: Cross multiply
    128,214x = 273,852 × 273,852
  4. Step 4: Simplify right side
    128,214x = 74,994,917,904
  5. Step 5: Solve for x
    x = 74,994,917,904/128,214
  6. Step 6: Final answer
    x = 584,919.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.