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Finding the Third Proportional to 128,997 and 273,603

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Solution

The third proportional to 128,997 and 273,603 is: 580,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,997 : 273,603 = 273,603 : x
  2. Step 2: Convert to fraction form
    128,997/273,603 = 273,603/x
  3. Step 3: Cross multiply
    128,997x = 273,603 × 273,603
  4. Step 4: Simplify right side
    128,997x = 74,858,601,609
  5. Step 5: Solve for x
    x = 74,858,601,609/128,997
  6. Step 6: Final answer
    x = 580,312.73

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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.