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Finding the Third Proportional to 128,690 and 193,980

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Solution

The third proportional to 128,690 and 193,980 is: 292,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,690 : 193,980 = 193,980 : x
  2. Step 2: Convert to fraction form
    128,690/193,980 = 193,980/x
  3. Step 3: Cross multiply
    128,690x = 193,980 × 193,980
  4. Step 4: Simplify right side
    128,690x = 37,628,240,400
  5. Step 5: Solve for x
    x = 37,628,240,400/128,690
  6. Step 6: Final answer
    x = 292,394.44

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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.