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Finding the Third Proportional to 128,924 and 193,449

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Solution

The third proportional to 128,924 and 193,449 is: 290,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,924 : 193,449 = 193,449 : x
  2. Step 2: Convert to fraction form
    128,924/193,449 = 193,449/x
  3. Step 3: Cross multiply
    128,924x = 193,449 × 193,449
  4. Step 4: Simplify right side
    128,924x = 37,422,515,601
  5. Step 5: Solve for x
    x = 37,422,515,601/128,924
  6. Step 6: Final answer
    x = 290,268.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.