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Finding the Third Proportional to 128,692 and 193,983

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Solution

The third proportional to 128,692 and 193,983 is: 292,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,692 : 193,983 = 193,983 : x
  2. Step 2: Convert to fraction form
    128,692/193,983 = 193,983/x
  3. Step 3: Cross multiply
    128,692x = 193,983 × 193,983
  4. Step 4: Simplify right side
    128,692x = 37,629,404,289
  5. Step 5: Solve for x
    x = 37,629,404,289/128,692
  6. Step 6: Final answer
    x = 292,398.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.