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Finding the Third Proportional to 128,886 and 273,260

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Solution

The third proportional to 128,886 and 273,260 is: 579,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,886 : 273,260 = 273,260 : x
  2. Step 2: Convert to fraction form
    128,886/273,260 = 273,260/x
  3. Step 3: Cross multiply
    128,886x = 273,260 × 273,260
  4. Step 4: Simplify right side
    128,886x = 74,671,027,600
  5. Step 5: Solve for x
    x = 74,671,027,600/128,886
  6. Step 6: Final answer
    x = 579,357.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.