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Finding the Third Proportional to 128,884 and 273,256

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Solution

The third proportional to 128,884 and 273,256 is: 579,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,884 : 273,256 = 273,256 : x
  2. Step 2: Convert to fraction form
    128,884/273,256 = 273,256/x
  3. Step 3: Cross multiply
    128,884x = 273,256 × 273,256
  4. Step 4: Simplify right side
    128,884x = 74,668,841,536
  5. Step 5: Solve for x
    x = 74,668,841,536/128,884
  6. Step 6: Final answer
    x = 579,349.19

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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.